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Finding the Fourth Proportional to 10,172.88, 13,963.68 and 9,028.56

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Solution

The fourth proportional to 10,172.88, 13,963.68 and 9,028.56 is: 12,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.88 : 13,963.68 = 9,028.56 : x
  2. Step 2: Convert to fraction form
    10,172.88/13,963.68 = 9,028.56/x
  3. Step 3: Cross multiply
    10,172.88x = 13,963.68 × 9,028.56
  4. Step 4: Simplify right side
    10,172.88x = 126,071,922.70
  5. Step 5: Solve for x
    x = 126,071,922.70/10,172.88
  6. Step 6: Final answer
    x = 12,392.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.