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Finding the Fourth Proportional to 9,169.34, 13,758.54 and 3,626.66

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Solution

The fourth proportional to 9,169.34, 13,758.54 and 3,626.66 is: 5,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.34 : 13,758.54 = 3,626.66 : x
  2. Step 2: Convert to fraction form
    9,169.34/13,758.54 = 3,626.66/x
  3. Step 3: Cross multiply
    9,169.34x = 13,758.54 × 3,626.66
  4. Step 4: Simplify right side
    9,169.34x = 49,897,477.88
  5. Step 5: Solve for x
    x = 49,897,477.88/9,169.34
  6. Step 6: Final answer
    x = 5,441.78

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