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Finding the Fourth Proportional to 6,676.06, 9,212.46 and 3,691.60

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Solution

The fourth proportional to 6,676.06, 9,212.46 and 3,691.60 is: 5,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.06 : 9,212.46 = 3,691.60 : x
  2. Step 2: Convert to fraction form
    6,676.06/9,212.46 = 3,691.60/x
  3. Step 3: Cross multiply
    6,676.06x = 9,212.46 × 3,691.60
  4. Step 4: Simplify right side
    6,676.06x = 34,008,717.34
  5. Step 5: Solve for x
    x = 34,008,717.34/6,676.06
  6. Step 6: Final answer
    x = 5,094.13

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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.