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Finding the Fourth Proportional to 6,613.92, 9,920.88 and 3,140.64

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Solution

The fourth proportional to 6,613.92, 9,920.88 and 3,140.64 is: 4,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.92 : 9,920.88 = 3,140.64 : x
  2. Step 2: Convert to fraction form
    6,613.92/9,920.88 = 3,140.64/x
  3. Step 3: Cross multiply
    6,613.92x = 9,920.88 × 3,140.64
  4. Step 4: Simplify right side
    6,613.92x = 31,157,912.56
  5. Step 5: Solve for x
    x = 31,157,912.56/6,613.92
  6. Step 6: Final answer
    x = 4,710.96

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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.