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Finding the Fourth Proportional to 6,932.39, 9,566.78 and 3,948.62

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Solution

The fourth proportional to 6,932.39, 9,566.78 and 3,948.62 is: 5,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.39 : 9,566.78 = 3,948.62 : x
  2. Step 2: Convert to fraction form
    6,932.39/9,566.78 = 3,948.62/x
  3. Step 3: Cross multiply
    6,932.39x = 9,566.78 × 3,948.62
  4. Step 4: Simplify right side
    6,932.39x = 37,775,511.27
  5. Step 5: Solve for x
    x = 37,775,511.27/6,932.39
  6. Step 6: Final answer
    x = 5,449.14

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