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Finding the Fourth Proportional to 6,932.29, 9,566.23 and 3,788.48

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Solution

The fourth proportional to 6,932.29, 9,566.23 and 3,788.48 is: 5,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.29 : 9,566.23 = 3,788.48 : x
  2. Step 2: Convert to fraction form
    6,932.29/9,566.23 = 3,788.48/x
  3. Step 3: Cross multiply
    6,932.29x = 9,566.23 × 3,788.48
  4. Step 4: Simplify right side
    6,932.29x = 36,241,471.03
  5. Step 5: Solve for x
    x = 36,241,471.03/6,932.29
  6. Step 6: Final answer
    x = 5,227.92

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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.