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Finding the Fourth Proportional to 9,743.28, 14,614.92 and 2,723.28

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Solution

The fourth proportional to 9,743.28, 14,614.92 and 2,723.28 is: 4,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.28 : 14,614.92 = 2,723.28 : x
  2. Step 2: Convert to fraction form
    9,743.28/14,614.92 = 2,723.28/x
  3. Step 3: Cross multiply
    9,743.28x = 14,614.92 × 2,723.28
  4. Step 4: Simplify right side
    9,743.28x = 39,800,519.34
  5. Step 5: Solve for x
    x = 39,800,519.34/9,743.28
  6. Step 6: Final answer
    x = 4,084.92

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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.