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Finding the Fourth Proportional to 6,498.40, 8,961.42 and 5,958.76

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Solution

The fourth proportional to 6,498.40, 8,961.42 and 5,958.76 is: 8,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.40 : 8,961.42 = 5,958.76 : x
  2. Step 2: Convert to fraction form
    6,498.40/8,961.42 = 5,958.76/x
  3. Step 3: Cross multiply
    6,498.40x = 8,961.42 × 5,958.76
  4. Step 4: Simplify right side
    6,498.40x = 53,398,951.04
  5. Step 5: Solve for x
    x = 53,398,951.04/6,498.40
  6. Step 6: Final answer
    x = 8,217.25

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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.