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Finding the Fourth Proportional to 6,757.85, 9,325.82 and 3,773.70

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Solution

The fourth proportional to 6,757.85, 9,325.82 and 3,773.70 is: 5,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.85 : 9,325.82 = 3,773.70 : x
  2. Step 2: Convert to fraction form
    6,757.85/9,325.82 = 3,773.70/x
  3. Step 3: Cross multiply
    6,757.85x = 9,325.82 × 3,773.70
  4. Step 4: Simplify right side
    6,757.85x = 35,192,856.37
  5. Step 5: Solve for x
    x = 35,192,856.37/6,757.85
  6. Step 6: Final answer
    x = 5,207.70

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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.