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Finding the Fourth Proportional to 6,147.43, 9,222.52 and 2,449.57

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Solution

The fourth proportional to 6,147.43, 9,222.52 and 2,449.57 is: 3,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.43 : 9,222.52 = 2,449.57 : x
  2. Step 2: Convert to fraction form
    6,147.43/9,222.52 = 2,449.57/x
  3. Step 3: Cross multiply
    6,147.43x = 9,222.52 × 2,449.57
  4. Step 4: Simplify right side
    6,147.43x = 22,591,208.32
  5. Step 5: Solve for x
    x = 22,591,208.32/6,147.43
  6. Step 6: Final answer
    x = 3,674.90

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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.