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Finding the Fourth Proportional to 9,614.52, 14,426.38 and 4,353.24

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Solution

The fourth proportional to 9,614.52, 14,426.38 and 4,353.24 is: 6,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.52 : 14,426.38 = 4,353.24 : x
  2. Step 2: Convert to fraction form
    9,614.52/14,426.38 = 4,353.24/x
  3. Step 3: Cross multiply
    9,614.52x = 14,426.38 × 4,353.24
  4. Step 4: Simplify right side
    9,614.52x = 62,801,494.47
  5. Step 5: Solve for x
    x = 62,801,494.47/9,614.52
  6. Step 6: Final answer
    x = 6,531.94

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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.