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Finding the Fourth Proportional to 6,377.24, 9,565.61 and 1,697.28

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Solution

The fourth proportional to 6,377.24, 9,565.61 and 1,697.28 is: 2,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.24 : 9,565.61 = 1,697.28 : x
  2. Step 2: Convert to fraction form
    6,377.24/9,565.61 = 1,697.28/x
  3. Step 3: Cross multiply
    6,377.24x = 9,565.61 × 1,697.28
  4. Step 4: Simplify right side
    6,377.24x = 16,235,510.05
  5. Step 5: Solve for x
    x = 16,235,510.05/6,377.24
  6. Step 6: Final answer
    x = 2,545.85

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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.