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Finding the Fourth Proportional to 9,234.18, 13,854 and 2,660.42

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Solution

The fourth proportional to 9,234.18, 13,854 and 2,660.42 is: 3,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.18 : 13,854 = 2,660.42 : x
  2. Step 2: Convert to fraction form
    9,234.18/13,854 = 2,660.42/x
  3. Step 3: Cross multiply
    9,234.18x = 13,854 × 2,660.42
  4. Step 4: Simplify right side
    9,234.18x = 36,857,458.68
  5. Step 5: Solve for x
    x = 36,857,458.68/9,234.18
  6. Step 6: Final answer
    x = 3,991.42

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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.