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Finding the Fourth Proportional to 7,171.97, 9,896.24 and 4,027.55

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Solution

The fourth proportional to 7,171.97, 9,896.24 and 4,027.55 is: 5,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.97 : 9,896.24 = 4,027.55 : x
  2. Step 2: Convert to fraction form
    7,171.97/9,896.24 = 4,027.55/x
  3. Step 3: Cross multiply
    7,171.97x = 9,896.24 × 4,027.55
  4. Step 4: Simplify right side
    7,171.97x = 39,857,531.79
  5. Step 5: Solve for x
    x = 39,857,531.79/7,171.97
  6. Step 6: Final answer
    x = 5,557.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.