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Finding the Fourth Proportional to 9,879, 13,632.90 and 5,905.42

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Solution

The fourth proportional to 9,879, 13,632.90 and 5,905.42 is: 8,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879 : 13,632.90 = 5,905.42 : x
  2. Step 2: Convert to fraction form
    9,879/13,632.90 = 5,905.42/x
  3. Step 3: Cross multiply
    9,879x = 13,632.90 × 5,905.42
  4. Step 4: Simplify right side
    9,879x = 80,508,000.32
  5. Step 5: Solve for x
    x = 80,508,000.32/9,879
  6. Step 6: Final answer
    x = 8,149.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.