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Finding the Fourth Proportional to 6,932.07, 9,566.25 and 3,788.25

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Solution

The fourth proportional to 6,932.07, 9,566.25 and 3,788.25 is: 5,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.07 : 9,566.25 = 3,788.25 : x
  2. Step 2: Convert to fraction form
    6,932.07/9,566.25 = 3,788.25/x
  3. Step 3: Cross multiply
    6,932.07x = 9,566.25 × 3,788.25
  4. Step 4: Simplify right side
    6,932.07x = 36,239,346.56
  5. Step 5: Solve for x
    x = 36,239,346.56/6,932.07
  6. Step 6: Final answer
    x = 5,227.78

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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.