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Finding the Fourth Proportional to 6,234.32, 9,343.68 and 3,115.20

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Solution

The fourth proportional to 6,234.32, 9,343.68 and 3,115.20 is: 4,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.32 : 9,343.68 = 3,115.20 : x
  2. Step 2: Convert to fraction form
    6,234.32/9,343.68 = 3,115.20/x
  3. Step 3: Cross multiply
    6,234.32x = 9,343.68 × 3,115.20
  4. Step 4: Simplify right side
    6,234.32x = 29,107,431.94
  5. Step 5: Solve for x
    x = 29,107,431.94/6,234.32
  6. Step 6: Final answer
    x = 4,668.90

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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.