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Finding the Fourth Proportional to 6,931.42, 9,565.34 and 3,787.61

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Solution

The fourth proportional to 6,931.42, 9,565.34 and 3,787.61 is: 5,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.42 : 9,565.34 = 3,787.61 : x
  2. Step 2: Convert to fraction form
    6,931.42/9,565.34 = 3,787.61/x
  3. Step 3: Cross multiply
    6,931.42x = 9,565.34 × 3,787.61
  4. Step 4: Simplify right side
    6,931.42x = 36,229,710.67
  5. Step 5: Solve for x
    x = 36,229,710.67/6,931.42
  6. Step 6: Final answer
    x = 5,226.88

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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.