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Finding the Fourth Proportional to 6,381.65, 8,809.07 and 3,729.92

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Solution

The fourth proportional to 6,381.65, 8,809.07 and 3,729.92 is: 5,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.65 : 8,809.07 = 3,729.92 : x
  2. Step 2: Convert to fraction form
    6,381.65/8,809.07 = 3,729.92/x
  3. Step 3: Cross multiply
    6,381.65x = 8,809.07 × 3,729.92
  4. Step 4: Simplify right side
    6,381.65x = 32,857,063.68
  5. Step 5: Solve for x
    x = 32,857,063.68/6,381.65
  6. Step 6: Final answer
    x = 5,148.68

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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.