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Finding the Fourth Proportional to 9,162.54, 13,744.28 and 2,589.20

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Solution

The fourth proportional to 9,162.54, 13,744.28 and 2,589.20 is: 3,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.54 : 13,744.28 = 2,589.20 : x
  2. Step 2: Convert to fraction form
    9,162.54/13,744.28 = 2,589.20/x
  3. Step 3: Cross multiply
    9,162.54x = 13,744.28 × 2,589.20
  4. Step 4: Simplify right side
    9,162.54x = 35,586,689.78
  5. Step 5: Solve for x
    x = 35,586,689.78/9,162.54
  6. Step 6: Final answer
    x = 3,883.93

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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.