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Finding the Fourth Proportional to 6,857.69, 9,463.57 and 3,713.85

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Solution

The fourth proportional to 6,857.69, 9,463.57 and 3,713.85 is: 5,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.69 : 9,463.57 = 3,713.85 : x
  2. Step 2: Convert to fraction form
    6,857.69/9,463.57 = 3,713.85/x
  3. Step 3: Cross multiply
    6,857.69x = 9,463.57 × 3,713.85
  4. Step 4: Simplify right side
    6,857.69x = 35,146,270.16
  5. Step 5: Solve for x
    x = 35,146,270.16/6,857.69
  6. Step 6: Final answer
    x = 5,125.09

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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.