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Finding the Fourth Proportional to 6,770.57, 9,343.85 and 3,786.44

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Solution

The fourth proportional to 6,770.57, 9,343.85 and 3,786.44 is: 5,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.57 : 9,343.85 = 3,786.44 : x
  2. Step 2: Convert to fraction form
    6,770.57/9,343.85 = 3,786.44/x
  3. Step 3: Cross multiply
    6,770.57x = 9,343.85 × 3,786.44
  4. Step 4: Simplify right side
    6,770.57x = 35,379,861.74
  5. Step 5: Solve for x
    x = 35,379,861.74/6,770.57
  6. Step 6: Final answer
    x = 5,225.54

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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.