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Finding the Fourth Proportional to 6,714.59, 9,266.28 and 3,882.05

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Solution

The fourth proportional to 6,714.59, 9,266.28 and 3,882.05 is: 5,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.59 : 9,266.28 = 3,882.05 : x
  2. Step 2: Convert to fraction form
    6,714.59/9,266.28 = 3,882.05/x
  3. Step 3: Cross multiply
    6,714.59x = 9,266.28 × 3,882.05
  4. Step 4: Simplify right side
    6,714.59x = 35,972,162.27
  5. Step 5: Solve for x
    x = 35,972,162.27/6,714.59
  6. Step 6: Final answer
    x = 5,357.31

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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.