The ratio of yes votes to no votes was 5 to 6.
[tex]\frac{yes}{no}=\frac{5}{6}[/tex]If there were 9086 total votes, how many yes votes were there?
The total number of parts is 5+6 = 11
So, we can set up the following ratio
[tex]\frac{yes}{total}=\frac{5}{11}=\frac{x}{9086}[/tex]Where x is the number of yes votes, let us solve for x
[tex]\begin{gathered} \frac{5}{11}=\frac{x}{9086} \\ \frac{5}{11}\cdot9086=x \\ 4130=x \\ x=4130 \end{gathered}[/tex]Therefore, 4130 yes votes were there.