4.4. Through the vertex $A$ of the parallelogram $A B C D$, a line is drawn intersecting the diagonal $B D$, the side $C D$, and the line $B C$ at points $E, F$, and $G$ respectively. Find $B E$, if $F G$ : $F E=9, E D=1$. Round your answer to the nearest hundredth if necessary.
Answer: 3.16 (exact value: $\sqrt{10}$ ).