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Finding the Fourth Proportional to 6,879.76, 9,494.04 and 3,735.96

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Solution

The fourth proportional to 6,879.76, 9,494.04 and 3,735.96 is: 5,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.76 : 9,494.04 = 3,735.96 : x
  2. Step 2: Convert to fraction form
    6,879.76/9,494.04 = 3,735.96/x
  3. Step 3: Cross multiply
    6,879.76x = 9,494.04 × 3,735.96
  4. Step 4: Simplify right side
    6,879.76x = 35,469,353.68
  5. Step 5: Solve for x
    x = 35,469,353.68/6,879.76
  6. Step 6: Final answer
    x = 5,155.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.