To be honest, I would guess fan ratings, especially in that kind of equipment are probably only specified t +/- 10% anyway so it probably wouldn't make any difference. If it uses a Peltier device to provide the cooling they typically draw 4 - 5 Amps anyway so the power supply should hardly notice the extra load.
Before discardig the old fan, if it's rumbling or not starting up without a push try this first: Peell back the manufacturers label, beneath it you should see the end of the motor shaft. If you see a rubber bung instead, hook it out but try not to damage it, when you see the end of the metal shaft, put ONE SMALL drop of light oil on it. You should use just enough that it covers the circlip washers and shaft, adding more will just make a mess! Then spin it by hand a few times to work the oil into the bearing and reassemble it. It doesn't always work but in many cases it will save you buying a new one and the repair can last for years.
Brian.