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Finding the Fourth Proportional to 6,856.20, 9,461.52 and 3,712.38

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Solution

The fourth proportional to 6,856.20, 9,461.52 and 3,712.38 is: 5,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.20 : 9,461.52 = 3,712.38 : x
  2. Step 2: Convert to fraction form
    6,856.20/9,461.52 = 3,712.38/x
  3. Step 3: Cross multiply
    6,856.20x = 9,461.52 × 3,712.38
  4. Step 4: Simplify right side
    6,856.20x = 35,124,757.62
  5. Step 5: Solve for x
    x = 35,124,757.62/6,856.20
  6. Step 6: Final answer
    x = 5,123.06

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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.