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Finding the Fourth Proportional to 9,772.68, 14,658.78 and 2,377.17

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Solution

The fourth proportional to 9,772.68, 14,658.78 and 2,377.17 is: 3,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.68 : 14,658.78 = 2,377.17 : x
  2. Step 2: Convert to fraction form
    9,772.68/14,658.78 = 2,377.17/x
  3. Step 3: Cross multiply
    9,772.68x = 14,658.78 × 2,377.17
  4. Step 4: Simplify right side
    9,772.68x = 34,846,412.05
  5. Step 5: Solve for x
    x = 34,846,412.05/9,772.68
  6. Step 6: Final answer
    x = 3,565.70

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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.