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Finding the Fourth Proportional to 9,972.75, 13,761.66 and 5,496.24

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Solution

The fourth proportional to 9,972.75, 13,761.66 and 5,496.24 is: 7,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.75 : 13,761.66 = 5,496.24 : x
  2. Step 2: Convert to fraction form
    9,972.75/13,761.66 = 5,496.24/x
  3. Step 3: Cross multiply
    9,972.75x = 13,761.66 × 5,496.24
  4. Step 4: Simplify right side
    9,972.75x = 75,637,386.16
  5. Step 5: Solve for x
    x = 75,637,386.16/9,972.75
  6. Step 6: Final answer
    x = 7,584.41

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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.