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Finding the Fourth Proportional to 9,545.14, 14,318.64 and 4,000.24

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Solution

The fourth proportional to 9,545.14, 14,318.64 and 4,000.24 is: 6,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.14 : 14,318.64 = 4,000.24 : x
  2. Step 2: Convert to fraction form
    9,545.14/14,318.64 = 4,000.24/x
  3. Step 3: Cross multiply
    9,545.14x = 14,318.64 × 4,000.24
  4. Step 4: Simplify right side
    9,545.14x = 57,277,996.47
  5. Step 5: Solve for x
    x = 57,277,996.47/9,545.14
  6. Step 6: Final answer
    x = 6,000.75

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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.