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Finding the Fourth Proportional to 6,932.44, 9,566.88 and 3,788.92

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Solution

The fourth proportional to 6,932.44, 9,566.88 and 3,788.92 is: 5,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.44 : 9,566.88 = 3,788.92 : x
  2. Step 2: Convert to fraction form
    6,932.44/9,566.88 = 3,788.92/x
  3. Step 3: Cross multiply
    6,932.44x = 9,566.88 × 3,788.92
  4. Step 4: Simplify right side
    6,932.44x = 36,248,142.97
  5. Step 5: Solve for x
    x = 36,248,142.97/6,932.44
  6. Step 6: Final answer
    x = 5,228.77

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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.