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Finding the Fourth Proportional to 9,996.82, 13,794.81 and 5,747.66

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Solution

The fourth proportional to 9,996.82, 13,794.81 and 5,747.66 is: 7,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.82 : 13,794.81 = 5,747.66 : x
  2. Step 2: Convert to fraction form
    9,996.82/13,794.81 = 5,747.66/x
  3. Step 3: Cross multiply
    9,996.82x = 13,794.81 × 5,747.66
  4. Step 4: Simplify right side
    9,996.82x = 79,287,838.85
  5. Step 5: Solve for x
    x = 79,287,838.85/9,996.82
  6. Step 6: Final answer
    x = 7,931.31

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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.