To find \( A \) given \( B = \frac{\sqrt{15}}{4} \), let's proceed with the known approach and the given value.
First, calculate \( B \):
[tex]\[ B = \frac{\sqrt{15}}{4} \][/tex]
Given that:
[tex]\[ B = 0.9682458365518543 \][/tex]
Now, let's denote our given relationship \( A \) to \( B \):
If any specific relationship between \( A \) and \( B \) is known or provided, we can calculate \( A \) accordingly. However, if \( A \) needs to be distinctly determined from a given relationship or formula and not explicitly specified yet, we can't proceed further and would need additional information.
Assuming we need to find \( B \) itself value, the final result would be:
[tex]\[ B = 0.9682458365518543 \][/tex]
Thus if it's required directly:
[tex]\[ A = B \][/tex]
Refers to:
[tex]\[ A = 0.9682458365518543 \][/tex]
For further detailed or any specific relationship between \( A \) and \( B \), kindly ensure the additional data or formulas given to proceed accordingly.
If no extra context, then simply:
[tex]\[ \boxed{ A = 0.9682458365518543 } \][/tex]