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Finding the Fourth Proportional to 6,770.28, 9,342.89 and 3,786.09

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Solution

The fourth proportional to 6,770.28, 9,342.89 and 3,786.09 is: 5,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.28 : 9,342.89 = 3,786.09 : x
  2. Step 2: Convert to fraction form
    6,770.28/9,342.89 = 3,786.09/x
  3. Step 3: Cross multiply
    6,770.28x = 9,342.89 × 3,786.09
  4. Step 4: Simplify right side
    6,770.28x = 35,373,056.48
  5. Step 5: Solve for x
    x = 35,373,056.48/6,770.28
  6. Step 6: Final answer
    x = 5,224.75

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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.