Given data:
The first term of geometric series is 4.
The second term of geometric series is 12.
The expression for the common ratio is,
[tex]\begin{gathered} r=\frac{12}{4} \\ =3 \end{gathered}[/tex]The expression for the 10th term is,
[tex]\begin{gathered} a_{10}=a(r)^9 \\ =4(3)^9 \\ =78,732 \end{gathered}[/tex]Thus, the 10th term is 78,732.