37 pictures in 9 minutes can be written as a ratio of 37:9.
Now 444 is divisible by 37, it's 12. So we can multiply both 37 and 9 from the ratio by 12 to find out how long will it take to hang 444 pictures:
37 * 12 : 9 * 12
444 : 108
Answer: It'll take 108 minutes (1 hour and 48 minutes) to hang 444 pictures.