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Finding the Fourth Proportional to 6,115.52, 9,171.84 and 2,220.80

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Solution

The fourth proportional to 6,115.52, 9,171.84 and 2,220.80 is: 3,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.52 : 9,171.84 = 2,220.80 : x
  2. Step 2: Convert to fraction form
    6,115.52/9,171.84 = 2,220.80/x
  3. Step 3: Cross multiply
    6,115.52x = 9,171.84 × 2,220.80
  4. Step 4: Simplify right side
    6,115.52x = 20,368,822.27
  5. Step 5: Solve for x
    x = 20,368,822.27/6,115.52
  6. Step 6: Final answer
    x = 3,330.68

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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.