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Finding the Fourth Proportional to 6,769.87, 9,342.61 and 3,786.03

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Solution

The fourth proportional to 6,769.87, 9,342.61 and 3,786.03 is: 5,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.87 : 9,342.61 = 3,786.03 : x
  2. Step 2: Convert to fraction form
    6,769.87/9,342.61 = 3,786.03/x
  3. Step 3: Cross multiply
    6,769.87x = 9,342.61 × 3,786.03
  4. Step 4: Simplify right side
    6,769.87x = 35,371,392.27
  5. Step 5: Solve for x
    x = 35,371,392.27/6,769.87
  6. Step 6: Final answer
    x = 5,224.83

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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.