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Finding the Fourth Proportional to 6,769.80, 9,342.24 and 3,785.55

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Solution

The fourth proportional to 6,769.80, 9,342.24 and 3,785.55 is: 5,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.80 : 9,342.24 = 3,785.55 : x
  2. Step 2: Convert to fraction form
    6,769.80/9,342.24 = 3,785.55/x
  3. Step 3: Cross multiply
    6,769.80x = 9,342.24 × 3,785.55
  4. Step 4: Simplify right side
    6,769.80x = 35,365,516.63
  5. Step 5: Solve for x
    x = 35,365,516.63/6,769.80
  6. Step 6: Final answer
    x = 5,224.01

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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.