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Finding the Fourth Proportional to 6,331.75, 9,498.84 and 2,869

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Solution

The fourth proportional to 6,331.75, 9,498.84 and 2,869 is: 4,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.75 : 9,498.84 = 2,869 : x
  2. Step 2: Convert to fraction form
    6,331.75/9,498.84 = 2,869/x
  3. Step 3: Cross multiply
    6,331.75x = 9,498.84 × 2,869
  4. Step 4: Simplify right side
    6,331.75x = 27,252,171.96
  5. Step 5: Solve for x
    x = 27,252,171.96/6,331.75
  6. Step 6: Final answer
    x = 4,304.05

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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.