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Finding the Fourth Proportional to 6,857.85, 9,463.87 and 3,714.04

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Solution

The fourth proportional to 6,857.85, 9,463.87 and 3,714.04 is: 5,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.85 : 9,463.87 = 3,714.04 : x
  2. Step 2: Convert to fraction form
    6,857.85/9,463.87 = 3,714.04/x
  3. Step 3: Cross multiply
    6,857.85x = 9,463.87 × 3,714.04
  4. Step 4: Simplify right side
    6,857.85x = 35,149,191.73
  5. Step 5: Solve for x
    x = 35,149,191.73/6,857.85
  6. Step 6: Final answer
    x = 5,125.40

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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.