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Finding the Fourth Proportional to 6,377.20, 9,565.76 and 1,697.20

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Solution

The fourth proportional to 6,377.20, 9,565.76 and 1,697.20 is: 2,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.20 : 9,565.76 = 1,697.20 : x
  2. Step 2: Convert to fraction form
    6,377.20/9,565.76 = 1,697.20/x
  3. Step 3: Cross multiply
    6,377.20x = 9,565.76 × 1,697.20
  4. Step 4: Simplify right side
    6,377.20x = 16,234,988.20
  5. Step 5: Solve for x
    x = 16,234,988.20/6,377.20
  6. Step 6: Final answer
    x = 2,545.79

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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.