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Finding the Fourth Proportional to 9,832.82, 13,557.49 and 8,033.63

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Solution

The fourth proportional to 9,832.82, 13,557.49 and 8,033.63 is: 11,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.82 : 13,557.49 = 8,033.63 : x
  2. Step 2: Convert to fraction form
    9,832.82/13,557.49 = 8,033.63/x
  3. Step 3: Cross multiply
    9,832.82x = 13,557.49 × 8,033.63
  4. Step 4: Simplify right side
    9,832.82x = 108,915,770.52
  5. Step 5: Solve for x
    x = 108,915,770.52/9,832.82
  6. Step 6: Final answer
    x = 11,076.76

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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.