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Finding the Fourth Proportional to 6,177.96, 9,258.39 and 5,354.19

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Solution

The fourth proportional to 6,177.96, 9,258.39 and 5,354.19 is: 8,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.96 : 9,258.39 = 5,354.19 : x
  2. Step 2: Convert to fraction form
    6,177.96/9,258.39 = 5,354.19/x
  3. Step 3: Cross multiply
    6,177.96x = 9,258.39 × 5,354.19
  4. Step 4: Simplify right side
    6,177.96x = 49,571,179.15
  5. Step 5: Solve for x
    x = 49,571,179.15/6,177.96
  6. Step 6: Final answer
    x = 8,023.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.