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Finding the Fourth Proportional to 6,857.14, 9,462.86 and 3,713.32

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Solution

The fourth proportional to 6,857.14, 9,462.86 and 3,713.32 is: 5,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.14 : 9,462.86 = 3,713.32 : x
  2. Step 2: Convert to fraction form
    6,857.14/9,462.86 = 3,713.32/x
  3. Step 3: Cross multiply
    6,857.14x = 9,462.86 × 3,713.32
  4. Step 4: Simplify right side
    6,857.14x = 35,138,627.30
  5. Step 5: Solve for x
    x = 35,138,627.30/6,857.14
  6. Step 6: Final answer
    x = 5,124.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.