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Finding the Fourth Proportional to 6,769.32, 9,342.04 and 3,785.06

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Solution

The fourth proportional to 6,769.32, 9,342.04 and 3,785.06 is: 5,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.32 : 9,342.04 = 3,785.06 : x
  2. Step 2: Convert to fraction form
    6,769.32/9,342.04 = 3,785.06/x
  3. Step 3: Cross multiply
    6,769.32x = 9,342.04 × 3,785.06
  4. Step 4: Simplify right side
    6,769.32x = 35,360,181.92
  5. Step 5: Solve for x
    x = 35,360,181.92/6,769.32
  6. Step 6: Final answer
    x = 5,223.59

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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.