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Finding the Fourth Proportional to 9,545.71, 14,318.55 and 5,171.71

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Solution

The fourth proportional to 9,545.71, 14,318.55 and 5,171.71 is: 7,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.71 : 14,318.55 = 5,171.71 : x
  2. Step 2: Convert to fraction form
    9,545.71/14,318.55 = 5,171.71/x
  3. Step 3: Cross multiply
    9,545.71x = 14,318.55 × 5,171.71
  4. Step 4: Simplify right side
    9,545.71x = 74,051,388.22
  5. Step 5: Solve for x
    x = 74,051,388.22/9,545.71
  6. Step 6: Final answer
    x = 7,757.56

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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.