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Finding the Fourth Proportional to 9,530.52, 14,265.54 and 9,167.64

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Solution

The fourth proportional to 9,530.52, 14,265.54 and 9,167.64 is: 13,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.52 : 14,265.54 = 9,167.64 : x
  2. Step 2: Convert to fraction form
    9,530.52/14,265.54 = 9,167.64/x
  3. Step 3: Cross multiply
    9,530.52x = 14,265.54 × 9,167.64
  4. Step 4: Simplify right side
    9,530.52x = 130,781,335.13
  5. Step 5: Solve for x
    x = 130,781,335.13/9,530.52
  6. Step 6: Final answer
    x = 13,722.37

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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.