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Finding the Fourth Proportional to 6,147.70, 9,215.57 and 2,449.85

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Solution

The fourth proportional to 6,147.70, 9,215.57 and 2,449.85 is: 3,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.70 : 9,215.57 = 2,449.85 : x
  2. Step 2: Convert to fraction form
    6,147.70/9,215.57 = 2,449.85/x
  3. Step 3: Cross multiply
    6,147.70x = 9,215.57 × 2,449.85
  4. Step 4: Simplify right side
    6,147.70x = 22,576,724.21
  5. Step 5: Solve for x
    x = 22,576,724.21/6,147.70
  6. Step 6: Final answer
    x = 3,672.39

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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.