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Finding the Fourth Proportional to 9,561.14, 13,161.60 and 8,294.73

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Solution

The fourth proportional to 9,561.14, 13,161.60 and 8,294.73 is: 11,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.14 : 13,161.60 = 8,294.73 : x
  2. Step 2: Convert to fraction form
    9,561.14/13,161.60 = 8,294.73/x
  3. Step 3: Cross multiply
    9,561.14x = 13,161.60 × 8,294.73
  4. Step 4: Simplify right side
    9,561.14x = 109,171,918.37
  5. Step 5: Solve for x
    x = 109,171,918.37/9,561.14
  6. Step 6: Final answer
    x = 11,418.30

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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.