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Finding the Fourth Proportional to 6,439.38, 9,659.07 and 4,458.83

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Solution

The fourth proportional to 6,439.38, 9,659.07 and 4,458.83 is: 6,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.38 : 9,659.07 = 4,458.83 : x
  2. Step 2: Convert to fraction form
    6,439.38/9,659.07 = 4,458.83/x
  3. Step 3: Cross multiply
    6,439.38x = 9,659.07 × 4,458.83
  4. Step 4: Simplify right side
    6,439.38x = 43,068,102.79
  5. Step 5: Solve for x
    x = 43,068,102.79/6,439.38
  6. Step 6: Final answer
    x = 6,688.24

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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.