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Finding the Fourth Proportional to 9,162.92, 13,743.17 and 2,589.67

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Solution

The fourth proportional to 9,162.92, 13,743.17 and 2,589.67 is: 3,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.92 : 13,743.17 = 2,589.67 : x
  2. Step 2: Convert to fraction form
    9,162.92/13,743.17 = 2,589.67/x
  3. Step 3: Cross multiply
    9,162.92x = 13,743.17 × 2,589.67
  4. Step 4: Simplify right side
    9,162.92x = 35,590,289.00
  5. Step 5: Solve for x
    x = 35,590,289.00/9,162.92
  6. Step 6: Final answer
    x = 3,884.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.