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Finding the Fourth Proportional to 6,879.28, 9,493.60 and 3,854.64

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Solution

The fourth proportional to 6,879.28, 9,493.60 and 3,854.64 is: 5,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.28 : 9,493.60 = 3,854.64 : x
  2. Step 2: Convert to fraction form
    6,879.28/9,493.60 = 3,854.64/x
  3. Step 3: Cross multiply
    6,879.28x = 9,493.60 × 3,854.64
  4. Step 4: Simplify right side
    6,879.28x = 36,594,410.30
  5. Step 5: Solve for x
    x = 36,594,410.30/6,879.28
  6. Step 6: Final answer
    x = 5,319.51

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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.