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Finding the Fourth Proportional to 6,932.28, 9,566.44 and 3,788.44

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Solution

The fourth proportional to 6,932.28, 9,566.44 and 3,788.44 is: 5,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.28 : 9,566.44 = 3,788.44 : x
  2. Step 2: Convert to fraction form
    6,932.28/9,566.44 = 3,788.44/x
  3. Step 3: Cross multiply
    6,932.28x = 9,566.44 × 3,788.44
  4. Step 4: Simplify right side
    6,932.28x = 36,241,883.95
  5. Step 5: Solve for x
    x = 36,241,883.95/6,932.28
  6. Step 6: Final answer
    x = 5,227.99

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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.