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Finding the Fourth Proportional to 34,697.20, 52,046.04 and 9,737.40

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Solution

The fourth proportional to 34,697.20, 52,046.04 and 9,737.40 is: 14,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.20 : 52,046.04 = 9,737.40 : x
  2. Step 2: Convert to fraction form
    34,697.20/52,046.04 = 9,737.40/x
  3. Step 3: Cross multiply
    34,697.20x = 52,046.04 × 9,737.40
  4. Step 4: Simplify right side
    34,697.20x = 506,793,109.90
  5. Step 5: Solve for x
    x = 506,793,109.90/34,697.20
  6. Step 6: Final answer
    x = 14,606.17

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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.