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Finding the Fourth Proportional to 6,857.40, 9,463.14 and 3,713.55

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Solution

The fourth proportional to 6,857.40, 9,463.14 and 3,713.55 is: 5,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.40 : 9,463.14 = 3,713.55 : x
  2. Step 2: Convert to fraction form
    6,857.40/9,463.14 = 3,713.55/x
  3. Step 3: Cross multiply
    6,857.40x = 9,463.14 × 3,713.55
  4. Step 4: Simplify right side
    6,857.40x = 35,141,843.55
  5. Step 5: Solve for x
    x = 35,141,843.55/6,857.40
  6. Step 6: Final answer
    x = 5,124.66

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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.