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Finding the Fourth Proportional to 6,863.70, 9,471.92 and 3,719.89

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Solution

The fourth proportional to 6,863.70, 9,471.92 and 3,719.89 is: 5,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.70 : 9,471.92 = 3,719.89 : x
  2. Step 2: Convert to fraction form
    6,863.70/9,471.92 = 3,719.89/x
  3. Step 3: Cross multiply
    6,863.70x = 9,471.92 × 3,719.89
  4. Step 4: Simplify right side
    6,863.70x = 35,234,500.49
  5. Step 5: Solve for x
    x = 35,234,500.49/6,863.70
  6. Step 6: Final answer
    x = 5,133.46

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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.