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Finding the Fourth Proportional to 8,737.61, 13,097.94 and 3,470.88

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Solution

The fourth proportional to 8,737.61, 13,097.94 and 3,470.88 is: 5,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.61 : 13,097.94 = 3,470.88 : x
  2. Step 2: Convert to fraction form
    8,737.61/13,097.94 = 3,470.88/x
  3. Step 3: Cross multiply
    8,737.61x = 13,097.94 × 3,470.88
  4. Step 4: Simplify right side
    8,737.61x = 45,461,414.09
  5. Step 5: Solve for x
    x = 45,461,414.09/8,737.61
  6. Step 6: Final answer
    x = 5,202.96

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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.