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Finding the Fourth Proportional to 9,996.75, 13,796.73 and 5,805

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Solution

The fourth proportional to 9,996.75, 13,796.73 and 5,805 is: 8,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.75 : 13,796.73 = 5,805 : x
  2. Step 2: Convert to fraction form
    9,996.75/13,796.73 = 5,805/x
  3. Step 3: Cross multiply
    9,996.75x = 13,796.73 × 5,805
  4. Step 4: Simplify right side
    9,996.75x = 80,090,017.65
  5. Step 5: Solve for x
    x = 80,090,017.65/9,996.75
  6. Step 6: Final answer
    x = 8,011.61

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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.