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Finding the Fourth Proportional to 6,769.64, 9,342.24 and 3,785.81

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Solution

The fourth proportional to 6,769.64, 9,342.24 and 3,785.81 is: 5,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.64 : 9,342.24 = 3,785.81 : x
  2. Step 2: Convert to fraction form
    6,769.64/9,342.24 = 3,785.81/x
  3. Step 3: Cross multiply
    6,769.64x = 9,342.24 × 3,785.81
  4. Step 4: Simplify right side
    6,769.64x = 35,367,884.71
  5. Step 5: Solve for x
    x = 35,367,884.71/6,769.64
  6. Step 6: Final answer
    x = 5,224.48

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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.