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Finding the Fourth Proportional to 6,931.66, 9,565.82 and 3,787.78

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Solution

The fourth proportional to 6,931.66, 9,565.82 and 3,787.78 is: 5,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.66 : 9,565.82 = 3,787.78 : x
  2. Step 2: Convert to fraction form
    6,931.66/9,565.82 = 3,787.78/x
  3. Step 3: Cross multiply
    6,931.66x = 9,565.82 × 3,787.78
  4. Step 4: Simplify right side
    6,931.66x = 36,233,221.68
  5. Step 5: Solve for x
    x = 36,233,221.68/6,931.66
  6. Step 6: Final answer
    x = 5,227.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.