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Finding the Fourth Proportional to 7,171.92, 9,896.56 and 4,187.60

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Solution

The fourth proportional to 7,171.92, 9,896.56 and 4,187.60 is: 5,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.92 : 9,896.56 = 4,187.60 : x
  2. Step 2: Convert to fraction form
    7,171.92/9,896.56 = 4,187.60/x
  3. Step 3: Cross multiply
    7,171.92x = 9,896.56 × 4,187.60
  4. Step 4: Simplify right side
    7,171.92x = 41,442,834.66
  5. Step 5: Solve for x
    x = 41,442,834.66/7,171.92
  6. Step 6: Final answer
    x = 5,778.49

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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.