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Finding the Fourth Proportional to 9,162.50, 13,743.78 and 2,237

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Solution

The fourth proportional to 9,162.50, 13,743.78 and 2,237 is: 3,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.50 : 13,743.78 = 2,237 : x
  2. Step 2: Convert to fraction form
    9,162.50/13,743.78 = 2,237/x
  3. Step 3: Cross multiply
    9,162.50x = 13,743.78 × 2,237
  4. Step 4: Simplify right side
    9,162.50x = 30,744,835.86
  5. Step 5: Solve for x
    x = 30,744,835.86/9,162.50
  6. Step 6: Final answer
    x = 3,355.51

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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.