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Finding the Fourth Proportional to 9,976.33, 13,767.33 and 5,999.75

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Solution

The fourth proportional to 9,976.33, 13,767.33 and 5,999.75 is: 8,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.33 : 13,767.33 = 5,999.75 : x
  2. Step 2: Convert to fraction form
    9,976.33/13,767.33 = 5,999.75/x
  3. Step 3: Cross multiply
    9,976.33x = 13,767.33 × 5,999.75
  4. Step 4: Simplify right side
    9,976.33x = 82,600,620.90
  5. Step 5: Solve for x
    x = 82,600,620.90/9,976.33
  6. Step 6: Final answer
    x = 8,279.66

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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.