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Finding the Fourth Proportional to 9,524.97, 13,132.26 and 7,396.90

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Solution

The fourth proportional to 9,524.97, 13,132.26 and 7,396.90 is: 10,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.97 : 13,132.26 = 7,396.90 : x
  2. Step 2: Convert to fraction form
    9,524.97/13,132.26 = 7,396.90/x
  3. Step 3: Cross multiply
    9,524.97x = 13,132.26 × 7,396.90
  4. Step 4: Simplify right side
    9,524.97x = 97,138,013.99
  5. Step 5: Solve for x
    x = 97,138,013.99/9,524.97
  6. Step 6: Final answer
    x = 10,198.25

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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.