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Finding the Fourth Proportional to 6,292.44, 9,439.14 and 1,912.98

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Solution

The fourth proportional to 6,292.44, 9,439.14 and 1,912.98 is: 2,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.44 : 9,439.14 = 1,912.98 : x
  2. Step 2: Convert to fraction form
    6,292.44/9,439.14 = 1,912.98/x
  3. Step 3: Cross multiply
    6,292.44x = 9,439.14 × 1,912.98
  4. Step 4: Simplify right side
    6,292.44x = 18,056,886.04
  5. Step 5: Solve for x
    x = 18,056,886.04/6,292.44
  6. Step 6: Final answer
    x = 2,869.62

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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.