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Finding the Fourth Proportional to 6,676.32, 9,214.80 and 3,882.24

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Solution

The fourth proportional to 6,676.32, 9,214.80 and 3,882.24 is: 5,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.32 : 9,214.80 = 3,882.24 : x
  2. Step 2: Convert to fraction form
    6,676.32/9,214.80 = 3,882.24/x
  3. Step 3: Cross multiply
    6,676.32x = 9,214.80 × 3,882.24
  4. Step 4: Simplify right side
    6,676.32x = 35,774,065.15
  5. Step 5: Solve for x
    x = 35,774,065.15/6,676.32
  6. Step 6: Final answer
    x = 5,358.35

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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.