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Finding the Fourth Proportional to 6,932.20, 9,565.86 and 3,788.38

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Solution

The fourth proportional to 6,932.20, 9,565.86 and 3,788.38 is: 5,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.20 : 9,565.86 = 3,788.38 : x
  2. Step 2: Convert to fraction form
    6,932.20/9,565.86 = 3,788.38/x
  3. Step 3: Cross multiply
    6,932.20x = 9,565.86 × 3,788.38
  4. Step 4: Simplify right side
    6,932.20x = 36,239,112.71
  5. Step 5: Solve for x
    x = 36,239,112.71/6,932.20
  6. Step 6: Final answer
    x = 5,227.65

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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.