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Finding the Fourth Proportional to 6,205.82, 9,306.50 and 2,456.73

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Solution

The fourth proportional to 6,205.82, 9,306.50 and 2,456.73 is: 3,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.82 : 9,306.50 = 2,456.73 : x
  2. Step 2: Convert to fraction form
    6,205.82/9,306.50 = 2,456.73/x
  3. Step 3: Cross multiply
    6,205.82x = 9,306.50 × 2,456.73
  4. Step 4: Simplify right side
    6,205.82x = 22,863,545.46
  5. Step 5: Solve for x
    x = 22,863,545.46/6,205.82
  6. Step 6: Final answer
    x = 3,684.21

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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.