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Finding the Fourth Proportional to 6,295.25, 9,443.08 and 1,912.75

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Solution

The fourth proportional to 6,295.25, 9,443.08 and 1,912.75 is: 2,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.25 : 9,443.08 = 1,912.75 : x
  2. Step 2: Convert to fraction form
    6,295.25/9,443.08 = 1,912.75/x
  3. Step 3: Cross multiply
    6,295.25x = 9,443.08 × 1,912.75
  4. Step 4: Simplify right side
    6,295.25x = 18,062,194.49
  5. Step 5: Solve for x
    x = 18,062,194.49/6,295.25
  6. Step 6: Final answer
    x = 2,869.18

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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.