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Finding the Fourth Proportional to 9,105.45, 13,667.89 and 3,914.97

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Solution

The fourth proportional to 9,105.45, 13,667.89 and 3,914.97 is: 5,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.45 : 13,667.89 = 3,914.97 : x
  2. Step 2: Convert to fraction form
    9,105.45/13,667.89 = 3,914.97/x
  3. Step 3: Cross multiply
    9,105.45x = 13,667.89 × 3,914.97
  4. Step 4: Simplify right side
    9,105.45x = 53,509,379.31
  5. Step 5: Solve for x
    x = 53,509,379.31/9,105.45
  6. Step 6: Final answer
    x = 5,876.63

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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.