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Finding the Fourth Proportional to 6,676.02, 9,212.77 and 3,691.76

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Solution

The fourth proportional to 6,676.02, 9,212.77 and 3,691.76 is: 5,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.02 : 9,212.77 = 3,691.76 : x
  2. Step 2: Convert to fraction form
    6,676.02/9,212.77 = 3,691.76/x
  3. Step 3: Cross multiply
    6,676.02x = 9,212.77 × 3,691.76
  4. Step 4: Simplify right side
    6,676.02x = 34,011,335.78
  5. Step 5: Solve for x
    x = 34,011,335.78/6,676.02
  6. Step 6: Final answer
    x = 5,094.55

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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.