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Finding the Fourth Proportional to 9,331.73, 12,878.09 and 5,082.96

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Solution

The fourth proportional to 9,331.73, 12,878.09 and 5,082.96 is: 7,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.73 : 12,878.09 = 5,082.96 : x
  2. Step 2: Convert to fraction form
    9,331.73/12,878.09 = 5,082.96/x
  3. Step 3: Cross multiply
    9,331.73x = 12,878.09 × 5,082.96
  4. Step 4: Simplify right side
    9,331.73x = 65,458,790.93
  5. Step 5: Solve for x
    x = 65,458,790.93/9,331.73
  6. Step 6: Final answer
    x = 7,014.65

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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.