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Finding the Fourth Proportional to 7,171.02, 9,896.13 and 4,027.14

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Solution

The fourth proportional to 7,171.02, 9,896.13 and 4,027.14 is: 5,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.02 : 9,896.13 = 4,027.14 : x
  2. Step 2: Convert to fraction form
    7,171.02/9,896.13 = 4,027.14/x
  3. Step 3: Cross multiply
    7,171.02x = 9,896.13 × 4,027.14
  4. Step 4: Simplify right side
    7,171.02x = 39,853,100.97
  5. Step 5: Solve for x
    x = 39,853,100.97/7,171.02
  6. Step 6: Final answer
    x = 5,557.52

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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.