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Finding the Fourth Proportional to 6,676.18, 9,212.76 and 3,691.84

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Solution

The fourth proportional to 6,676.18, 9,212.76 and 3,691.84 is: 5,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.18 : 9,212.76 = 3,691.84 : x
  2. Step 2: Convert to fraction form
    6,676.18/9,212.76 = 3,691.84/x
  3. Step 3: Cross multiply
    6,676.18x = 9,212.76 × 3,691.84
  4. Step 4: Simplify right side
    6,676.18x = 34,012,035.88
  5. Step 5: Solve for x
    x = 34,012,035.88/6,676.18
  6. Step 6: Final answer
    x = 5,094.54

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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.