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Finding the Fourth Proportional to 9,169.08, 13,734.47 and 5,865.39

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Solution

The fourth proportional to 9,169.08, 13,734.47 and 5,865.39 is: 8,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.08 : 13,734.47 = 5,865.39 : x
  2. Step 2: Convert to fraction form
    9,169.08/13,734.47 = 5,865.39/x
  3. Step 3: Cross multiply
    9,169.08x = 13,734.47 × 5,865.39
  4. Step 4: Simplify right side
    9,169.08x = 80,558,022.99
  5. Step 5: Solve for x
    x = 80,558,022.99/9,169.08
  6. Step 6: Final answer
    x = 8,785.83

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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.