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Finding the Fourth Proportional to 7,265.72, 9,961.17 and 7,134.50

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Solution

The fourth proportional to 7,265.72, 9,961.17 and 7,134.50 is: 9,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.72 : 9,961.17 = 7,134.50 : x
  2. Step 2: Convert to fraction form
    7,265.72/9,961.17 = 7,134.50/x
  3. Step 3: Cross multiply
    7,265.72x = 9,961.17 × 7,134.50
  4. Step 4: Simplify right side
    7,265.72x = 71,067,944.31
  5. Step 5: Solve for x
    x = 71,067,944.31/7,265.72
  6. Step 6: Final answer
    x = 9,781.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.