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Finding the Fourth Proportional to 9,972.44, 13,761.80 and 5,496.09

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Solution

The fourth proportional to 9,972.44, 13,761.80 and 5,496.09 is: 7,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.44 : 13,761.80 = 5,496.09 : x
  2. Step 2: Convert to fraction form
    9,972.44/13,761.80 = 5,496.09/x
  3. Step 3: Cross multiply
    9,972.44x = 13,761.80 × 5,496.09
  4. Step 4: Simplify right side
    9,972.44x = 75,636,091.36
  5. Step 5: Solve for x
    x = 75,636,091.36/9,972.44
  6. Step 6: Final answer
    x = 7,584.51

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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.