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Finding the Fourth Proportional to 6,344.44, 9,517.67 and 2,183.43

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Solution

The fourth proportional to 6,344.44, 9,517.67 and 2,183.43 is: 3,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.44 : 9,517.67 = 2,183.43 : x
  2. Step 2: Convert to fraction form
    6,344.44/9,517.67 = 2,183.43/x
  3. Step 3: Cross multiply
    6,344.44x = 9,517.67 × 2,183.43
  4. Step 4: Simplify right side
    6,344.44x = 20,781,124.08
  5. Step 5: Solve for x
    x = 20,781,124.08/6,344.44
  6. Step 6: Final answer
    x = 3,275.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.