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Finding the Fourth Proportional to 9,118.38, 13,677.12 and 2,544.42

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Solution

The fourth proportional to 9,118.38, 13,677.12 and 2,544.42 is: 3,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.38 : 13,677.12 = 2,544.42 : x
  2. Step 2: Convert to fraction form
    9,118.38/13,677.12 = 2,544.42/x
  3. Step 3: Cross multiply
    9,118.38x = 13,677.12 × 2,544.42
  4. Step 4: Simplify right side
    9,118.38x = 34,800,337.67
  5. Step 5: Solve for x
    x = 34,800,337.67/9,118.38
  6. Step 6: Final answer
    x = 3,816.50

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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.