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Finding the Fourth Proportional to 6,676.64, 9,214.16 and 3,883.04

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Solution

The fourth proportional to 6,676.64, 9,214.16 and 3,883.04 is: 5,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.64 : 9,214.16 = 3,883.04 : x
  2. Step 2: Convert to fraction form
    6,676.64/9,214.16 = 3,883.04/x
  3. Step 3: Cross multiply
    6,676.64x = 9,214.16 × 3,883.04
  4. Step 4: Simplify right side
    6,676.64x = 35,778,951.85
  5. Step 5: Solve for x
    x = 35,778,951.85/6,676.64
  6. Step 6: Final answer
    x = 5,358.83

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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.