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Finding the Fourth Proportional to 6,115.92, 9,172.89 and 2,415.48

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Solution

The fourth proportional to 6,115.92, 9,172.89 and 2,415.48 is: 3,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.92 : 9,172.89 = 2,415.48 : x
  2. Step 2: Convert to fraction form
    6,115.92/9,172.89 = 2,415.48/x
  3. Step 3: Cross multiply
    6,115.92x = 9,172.89 × 2,415.48
  4. Step 4: Simplify right side
    6,115.92x = 22,156,932.34
  5. Step 5: Solve for x
    x = 22,156,932.34/6,115.92
  6. Step 6: Final answer
    x = 3,622.83

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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.