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Finding the Fourth Proportional to 9,537.97, 14,268.04 and 7,691.17

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Solution

The fourth proportional to 9,537.97, 14,268.04 and 7,691.17 is: 11,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.97 : 14,268.04 = 7,691.17 : x
  2. Step 2: Convert to fraction form
    9,537.97/14,268.04 = 7,691.17/x
  3. Step 3: Cross multiply
    9,537.97x = 14,268.04 × 7,691.17
  4. Step 4: Simplify right side
    9,537.97x = 109,737,921.21
  5. Step 5: Solve for x
    x = 109,737,921.21/9,537.97
  6. Step 6: Final answer
    x = 11,505.37

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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.