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Finding the Fourth Proportional to 6,232.30, 9,337.65 and 4,039.90

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Solution

The fourth proportional to 6,232.30, 9,337.65 and 4,039.90 is: 6,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.30 : 9,337.65 = 4,039.90 : x
  2. Step 2: Convert to fraction form
    6,232.30/9,337.65 = 4,039.90/x
  3. Step 3: Cross multiply
    6,232.30x = 9,337.65 × 4,039.90
  4. Step 4: Simplify right side
    6,232.30x = 37,723,172.24
  5. Step 5: Solve for x
    x = 37,723,172.24/6,232.30
  6. Step 6: Final answer
    x = 6,052.85

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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.