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Finding the Fourth Proportional to 9,737.20, 14,616.60 and 9,102.70

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Solution

The fourth proportional to 9,737.20, 14,616.60 and 9,102.70 is: 13,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.20 : 14,616.60 = 9,102.70 : x
  2. Step 2: Convert to fraction form
    9,737.20/14,616.60 = 9,102.70/x
  3. Step 3: Cross multiply
    9,737.20x = 14,616.60 × 9,102.70
  4. Step 4: Simplify right side
    9,737.20x = 133,050,524.82
  5. Step 5: Solve for x
    x = 133,050,524.82/9,737.20
  6. Step 6: Final answer
    x = 13,664.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.