Answer
New position: $(36i, 54j)$ $m$
Work Step by Step
Position $A(4i,6j)m$ increases about 3 times to get to point $B(12i, 18j)m$.
To move to the next position we would multiply $B(12i, 18j)m$ by 3 to get to $C(36i, 54j)m$
Therefore the new position is $C(36i, 54j)m$