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Finding the Fourth Proportional to 6,490.92, 9,729.08 and 3,197.04

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Solution

The fourth proportional to 6,490.92, 9,729.08 and 3,197.04 is: 4,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.92 : 9,729.08 = 3,197.04 : x
  2. Step 2: Convert to fraction form
    6,490.92/9,729.08 = 3,197.04/x
  3. Step 3: Cross multiply
    6,490.92x = 9,729.08 × 3,197.04
  4. Step 4: Simplify right side
    6,490.92x = 31,104,257.92
  5. Step 5: Solve for x
    x = 31,104,257.92/6,490.92
  6. Step 6: Final answer
    x = 4,791.96

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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.