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Finding the Fourth Proportional to 9,119.86, 13,640.91 and 5,601.22

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Solution

The fourth proportional to 9,119.86, 13,640.91 and 5,601.22 is: 8,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.86 : 13,640.91 = 5,601.22 : x
  2. Step 2: Convert to fraction form
    9,119.86/13,640.91 = 5,601.22/x
  3. Step 3: Cross multiply
    9,119.86x = 13,640.91 × 5,601.22
  4. Step 4: Simplify right side
    9,119.86x = 76,405,737.91
  5. Step 5: Solve for x
    x = 76,405,737.91/9,119.86
  6. Step 6: Final answer
    x = 8,377.95

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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.