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Finding the Fourth Proportional to 6,366.20, 9,545.90 and 2,205.14

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Solution

The fourth proportional to 6,366.20, 9,545.90 and 2,205.14 is: 3,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.20 : 9,545.90 = 2,205.14 : x
  2. Step 2: Convert to fraction form
    6,366.20/9,545.90 = 2,205.14/x
  3. Step 3: Cross multiply
    6,366.20x = 9,545.90 × 2,205.14
  4. Step 4: Simplify right side
    6,366.20x = 21,050,045.93
  5. Step 5: Solve for x
    x = 21,050,045.93/6,366.20
  6. Step 6: Final answer
    x = 3,306.53

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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.