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Finding the Fourth Proportional to 6,381.14, 8,806.16 and 3,863.71

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Solution

The fourth proportional to 6,381.14, 8,806.16 and 3,863.71 is: 5,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.14 : 8,806.16 = 3,863.71 : x
  2. Step 2: Convert to fraction form
    6,381.14/8,806.16 = 3,863.71/x
  3. Step 3: Cross multiply
    6,381.14x = 8,806.16 × 3,863.71
  4. Step 4: Simplify right side
    6,381.14x = 34,024,385.10
  5. Step 5: Solve for x
    x = 34,024,385.10/6,381.14
  6. Step 6: Final answer
    x = 5,332.02

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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.