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Finding the Fourth Proportional to 6,414.28, 8,856.72 and 4,919.83

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Solution

The fourth proportional to 6,414.28, 8,856.72 and 4,919.83 is: 6,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.28 : 8,856.72 = 4,919.83 : x
  2. Step 2: Convert to fraction form
    6,414.28/8,856.72 = 4,919.83/x
  3. Step 3: Cross multiply
    6,414.28x = 8,856.72 × 4,919.83
  4. Step 4: Simplify right side
    6,414.28x = 43,573,556.76
  5. Step 5: Solve for x
    x = 43,573,556.76/6,414.28
  6. Step 6: Final answer
    x = 6,793.21

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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.