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Finding the Fourth Proportional to 9,449.28, 13,039.20 and 5,257.92

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Solution

The fourth proportional to 9,449.28, 13,039.20 and 5,257.92 is: 7,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.28 : 13,039.20 = 5,257.92 : x
  2. Step 2: Convert to fraction form
    9,449.28/13,039.20 = 5,257.92/x
  3. Step 3: Cross multiply
    9,449.28x = 13,039.20 × 5,257.92
  4. Step 4: Simplify right side
    9,449.28x = 68,559,070.46
  5. Step 5: Solve for x
    x = 68,559,070.46/9,449.28
  6. Step 6: Final answer
    x = 7,255.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.