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Finding the Fourth Proportional to 9,929.72, 13,792.85 and 9,770.96

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Solution

The fourth proportional to 9,929.72, 13,792.85 and 9,770.96 is: 13,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.72 : 13,792.85 = 9,770.96 : x
  2. Step 2: Convert to fraction form
    9,929.72/13,792.85 = 9,770.96/x
  3. Step 3: Cross multiply
    9,929.72x = 13,792.85 × 9,770.96
  4. Step 4: Simplify right side
    9,929.72x = 134,769,385.64
  5. Step 5: Solve for x
    x = 134,769,385.64/9,929.72
  6. Step 6: Final answer
    x = 13,572.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.