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Finding the Fourth Proportional to 9,262.96, 13,891.20 and 3,996.54

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Solution

The fourth proportional to 9,262.96, 13,891.20 and 3,996.54 is: 5,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.96 : 13,891.20 = 3,996.54 : x
  2. Step 2: Convert to fraction form
    9,262.96/13,891.20 = 3,996.54/x
  3. Step 3: Cross multiply
    9,262.96x = 13,891.20 × 3,996.54
  4. Step 4: Simplify right side
    9,262.96x = 55,516,736.45
  5. Step 5: Solve for x
    x = 55,516,736.45/9,262.96
  6. Step 6: Final answer
    x = 5,993.41

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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.