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Finding the Fourth Proportional to 6,676.37, 9,213.46 and 3,692.41

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Solution

The fourth proportional to 6,676.37, 9,213.46 and 3,692.41 is: 5,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.37 : 9,213.46 = 3,692.41 : x
  2. Step 2: Convert to fraction form
    6,676.37/9,213.46 = 3,692.41/x
  3. Step 3: Cross multiply
    6,676.37x = 9,213.46 × 3,692.41
  4. Step 4: Simplify right side
    6,676.37x = 34,019,839.57
  5. Step 5: Solve for x
    x = 34,019,839.57/6,676.37
  6. Step 6: Final answer
    x = 5,095.56

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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.