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Finding the Fourth Proportional to 6,253.26, 9,372.56 and 3,478.62

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Solution

The fourth proportional to 6,253.26, 9,372.56 and 3,478.62 is: 5,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.26 : 9,372.56 = 3,478.62 : x
  2. Step 2: Convert to fraction form
    6,253.26/9,372.56 = 3,478.62/x
  3. Step 3: Cross multiply
    6,253.26x = 9,372.56 × 3,478.62
  4. Step 4: Simplify right side
    6,253.26x = 32,603,574.67
  5. Step 5: Solve for x
    x = 32,603,574.67/6,253.26
  6. Step 6: Final answer
    x = 5,213.85

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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.