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Finding the Fourth Proportional to 9,049.35, 13,635.67 and 7,441.90

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Solution

The fourth proportional to 9,049.35, 13,635.67 and 7,441.90 is: 11,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.35 : 13,635.67 = 7,441.90 : x
  2. Step 2: Convert to fraction form
    9,049.35/13,635.67 = 7,441.90/x
  3. Step 3: Cross multiply
    9,049.35x = 13,635.67 × 7,441.90
  4. Step 4: Simplify right side
    9,049.35x = 101,475,292.57
  5. Step 5: Solve for x
    x = 101,475,292.57/9,049.35
  6. Step 6: Final answer
    x = 11,213.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.