Answer:
The answer to your question is 4.5 moles of CH₄ are necessary to produce 9 moles of water.
Step-by-step explanation:
Data
moles of methane = ?
moles of water = 9
moles of oxygen = excess
Balanced chemical reaction
 1 CH₄ + 2O₂ ⇒ CO₂ + 2H₂O
Process
1.- Use proportions to find the moles of Methane and consider the coefficients of the balanced chemical reaction.
  1 mol of CH₄ -------------------- 2 moles of H₂O
 x -------------------- 9 moles of H₂O
 x = (9 x 1) / 2
 x = 9/2
 x = 4.5 moles of CH₄