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Finding the Fourth Proportional to 6,456.68, 9,685.34 and 3,876.20

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Solution

The fourth proportional to 6,456.68, 9,685.34 and 3,876.20 is: 5,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.68 : 9,685.34 = 3,876.20 : x
  2. Step 2: Convert to fraction form
    6,456.68/9,685.34 = 3,876.20/x
  3. Step 3: Cross multiply
    6,456.68x = 9,685.34 × 3,876.20
  4. Step 4: Simplify right side
    6,456.68x = 37,542,314.91
  5. Step 5: Solve for x
    x = 37,542,314.91/6,456.68
  6. Step 6: Final answer
    x = 5,814.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.