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Finding the Fourth Proportional to 6,879.38, 9,493.74 and 3,735.77

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Solution

The fourth proportional to 6,879.38, 9,493.74 and 3,735.77 is: 5,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.38 : 9,493.74 = 3,735.77 : x
  2. Step 2: Convert to fraction form
    6,879.38/9,493.74 = 3,735.77/x
  3. Step 3: Cross multiply
    6,879.38x = 9,493.74 × 3,735.77
  4. Step 4: Simplify right side
    6,879.38x = 35,466,381.61
  5. Step 5: Solve for x
    x = 35,466,381.61/6,879.38
  6. Step 6: Final answer
    x = 5,155.47

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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.