Answer
$7$ years from 2014 is the year 2021.
Work Step by Step
Let x be the number of years after 2014.
37,600 increased by $1250x=37,600+1250x $
We want to find the x for which this equals $46,350.$
$ 37,600+1250x=46,350 \qquad $ ... subtract $37,600$
$1250x=46,350-37,600$
$ 1250x=8,750 \qquad $ ... divide with $1250$
$ x=7$
$7$ years from 2014 is the year 2021.