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Finding the Fourth Proportional to 9,493.97, 14,226.24 and 7,151.45

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Solution

The fourth proportional to 9,493.97, 14,226.24 and 7,151.45 is: 10,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.97 : 14,226.24 = 7,151.45 : x
  2. Step 2: Convert to fraction form
    9,493.97/14,226.24 = 7,151.45/x
  3. Step 3: Cross multiply
    9,493.97x = 14,226.24 × 7,151.45
  4. Step 4: Simplify right side
    9,493.97x = 101,738,279.61
  5. Step 5: Solve for x
    x = 101,738,279.61/9,493.97
  6. Step 6: Final answer
    x = 10,716.09

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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.