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Finding the Fourth Proportional to 6,932.60, 9,566.77 and 3,948.86

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Solution

The fourth proportional to 6,932.60, 9,566.77 and 3,948.86 is: 5,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.60 : 9,566.77 = 3,948.86 : x
  2. Step 2: Convert to fraction form
    6,932.60/9,566.77 = 3,948.86/x
  3. Step 3: Cross multiply
    6,932.60x = 9,566.77 × 3,948.86
  4. Step 4: Simplify right side
    6,932.60x = 37,777,777.68
  5. Step 5: Solve for x
    x = 37,777,777.68/6,932.60
  6. Step 6: Final answer
    x = 5,449.30

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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.