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Finding the Fourth Proportional to 6,676.74, 9,213.81 and 3,692.58

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Solution

The fourth proportional to 6,676.74, 9,213.81 and 3,692.58 is: 5,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.74 : 9,213.81 = 3,692.58 : x
  2. Step 2: Convert to fraction form
    6,676.74/9,213.81 = 3,692.58/x
  3. Step 3: Cross multiply
    6,676.74x = 9,213.81 × 3,692.58
  4. Step 4: Simplify right side
    6,676.74x = 34,022,730.53
  5. Step 5: Solve for x
    x = 34,022,730.53/6,676.74
  6. Step 6: Final answer
    x = 5,095.71

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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.