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Finding the Fourth Proportional to 10,244.28, 15,370.74 and 9,427

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Solution

The fourth proportional to 10,244.28, 15,370.74 and 9,427 is: 14,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.28 : 15,370.74 = 9,427 : x
  2. Step 2: Convert to fraction form
    10,244.28/15,370.74 = 9,427/x
  3. Step 3: Cross multiply
    10,244.28x = 15,370.74 × 9,427
  4. Step 4: Simplify right side
    10,244.28x = 144,899,965.98
  5. Step 5: Solve for x
    x = 144,899,965.98/10,244.28
  6. Step 6: Final answer
    x = 14,144.48

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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.