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Finding the Fourth Proportional to 6,171.52, 9,235.20 and 5,359.36

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Solution

The fourth proportional to 6,171.52, 9,235.20 and 5,359.36 is: 8,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.52 : 9,235.20 = 5,359.36 : x
  2. Step 2: Convert to fraction form
    6,171.52/9,235.20 = 5,359.36/x
  3. Step 3: Cross multiply
    6,171.52x = 9,235.20 × 5,359.36
  4. Step 4: Simplify right side
    6,171.52x = 49,494,761.47
  5. Step 5: Solve for x
    x = 49,494,761.47/6,171.52
  6. Step 6: Final answer
    x = 8,019.87

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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.