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Finding the Fourth Proportional to 6,882.96, 9,498.39 and 3,739.14

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Solution

The fourth proportional to 6,882.96, 9,498.39 and 3,739.14 is: 5,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.96 : 9,498.39 = 3,739.14 : x
  2. Step 2: Convert to fraction form
    6,882.96/9,498.39 = 3,739.14/x
  3. Step 3: Cross multiply
    6,882.96x = 9,498.39 × 3,739.14
  4. Step 4: Simplify right side
    6,882.96x = 35,515,809.98
  5. Step 5: Solve for x
    x = 35,515,809.98/6,882.96
  6. Step 6: Final answer
    x = 5,159.96

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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.