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Finding the Fourth Proportional to 6,769.92, 9,341.82 and 3,785.25

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Solution

The fourth proportional to 6,769.92, 9,341.82 and 3,785.25 is: 5,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.92 : 9,341.82 = 3,785.25 : x
  2. Step 2: Convert to fraction form
    6,769.92/9,341.82 = 3,785.25/x
  3. Step 3: Cross multiply
    6,769.92x = 9,341.82 × 3,785.25
  4. Step 4: Simplify right side
    6,769.92x = 35,361,124.16
  5. Step 5: Solve for x
    x = 35,361,124.16/6,769.92
  6. Step 6: Final answer
    x = 5,223.27

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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.