What is the highest temperature the fridge should get to if it is set to the coldest setting? I placed a remote thermometer with logging capabilities in the fridge and mine cycles between 32F and 39F when set to the coldest setting which is 9. Should it be going all the way up to 39F?
Is it constantly bouncing from 32 to 39 over and over, or is it only getting up to 39 a couple of times per day? I'm thinking it might only be getting that warm during defrost. If so, then that's probably normal, or even a little better than normal.
Even if that's not what's going on, that sounds about perfect. It's really the average temperature that you need to be worried about. As long as your average temperature is between 32 and 39, then you're good.
That means a normally operating fridge could bounce below 32 or above 39 for short periods and still be perfectly ok.
Do keep in mind that if you are trying to narrow the temperature band, it could be hard on the compressor. The narrower the temperature band, the more cycling on and off it has to do. Modern refrigerators aren't known for being able to last a long time to begin with, so like I said, keep that in mind.