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Finding the Fourth Proportional to 11,972.87, 17,962.49 and 9,868.34

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Solution

The fourth proportional to 11,972.87, 17,962.49 and 9,868.34 is: 14,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.87 : 17,962.49 = 9,868.34 : x
  2. Step 2: Convert to fraction form
    11,972.87/17,962.49 = 9,868.34/x
  3. Step 3: Cross multiply
    11,972.87x = 17,962.49 × 9,868.34
  4. Step 4: Simplify right side
    11,972.87x = 177,259,958.57
  5. Step 5: Solve for x
    x = 177,259,958.57/11,972.87
  6. Step 6: Final answer
    x = 14,805.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.