I think this is all getting very off topic , OP asked a simple question "
I want to do X because I want to and that's just that"
So as soon as those pics come in OP, I will tell you exactly where to wire , what to do - and even suggest a very nice simple voltage limiter to tame that fan a bit - there are some great and really simple to use voltage regulator IC's that you can get for super cheap - or often even for free out of old power supplies, you may not need one on this project but they are super useful to know about.
More of a general note for others reading as I see OP has a very slow fan already :
Fans running on full 12V don't just attract dust, they also make noise - and I personally hate fan noise - dropping the voltage can practically silence the fan entirely, and often cause it to take more than 300% ~ 500% longer between dust buildups.
And you will have exactly what you wanted - because that's what modders do, and you don't need any more reason than that
EDIT : I seem to have been screwed by this new forum format - the last 3 or 4 posts simply where not showing :/ after I posted it reloaded and they appeared
I was going to say in the meantime here is a pic of another board using the same connector showing the most typical wiring of these sockets
... but that's all a little redundant now I guess
And to say anyone else looking to do this mod or one similar could also think about using laptop fans such as this :
Various fans like these are easy to get online for $2 ~ $4 , they are incredibly slim and can easily be applied to the inside of the side panel and create more than enough air turbulence to keep the device cool if you DO have one that is overheating *cough*NETGEAR*cough*...
And for anyone looking for a super cheap & easy 5v regulator :
These parts are all very very cheap, available in any electronics store or online by order, and can often be salvaged from old power supplies for free.
The 78
05 is a
5v regulator but if 12v is too fast and 5v is too slow you can get them in a range of other values such as the 78
07 7v regulator and more.