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Finding the Fourth Proportional to 6,306.29, 8,702.90 and 3,473.78

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Solution

The fourth proportional to 6,306.29, 8,702.90 and 3,473.78 is: 4,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.29 : 8,702.90 = 3,473.78 : x
  2. Step 2: Convert to fraction form
    6,306.29/8,702.90 = 3,473.78/x
  3. Step 3: Cross multiply
    6,306.29x = 8,702.90 × 3,473.78
  4. Step 4: Simplify right side
    6,306.29x = 30,231,959.96
  5. Step 5: Solve for x
    x = 30,231,959.96/6,306.29
  6. Step 6: Final answer
    x = 4,793.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.