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Finding the Fourth Proportional to 9,443.24, 14,164.89 and 2,869.48

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Solution

The fourth proportional to 9,443.24, 14,164.89 and 2,869.48 is: 4,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.24 : 14,164.89 = 2,869.48 : x
  2. Step 2: Convert to fraction form
    9,443.24/14,164.89 = 2,869.48/x
  3. Step 3: Cross multiply
    9,443.24x = 14,164.89 × 2,869.48
  4. Step 4: Simplify right side
    9,443.24x = 40,645,868.56
  5. Step 5: Solve for x
    x = 40,645,868.56/9,443.24
  6. Step 6: Final answer
    x = 4,304.23

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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.