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Finding the Fourth Proportional to 6,676.76, 9,214.73 and 3,882.26

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Solution

The fourth proportional to 6,676.76, 9,214.73 and 3,882.26 is: 5,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.76 : 9,214.73 = 3,882.26 : x
  2. Step 2: Convert to fraction form
    6,676.76/9,214.73 = 3,882.26/x
  3. Step 3: Cross multiply
    6,676.76x = 9,214.73 × 3,882.26
  4. Step 4: Simplify right side
    6,676.76x = 35,773,977.69
  5. Step 5: Solve for x
    x = 35,773,977.69/6,676.76
  6. Step 6: Final answer
    x = 5,357.98

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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.