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Finding the Fourth Proportional to 9,321.80, 12,860.82 and 5,965.16

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Solution

The fourth proportional to 9,321.80, 12,860.82 and 5,965.16 is: 8,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.80 : 12,860.82 = 5,965.16 : x
  2. Step 2: Convert to fraction form
    9,321.80/12,860.82 = 5,965.16/x
  3. Step 3: Cross multiply
    9,321.80x = 12,860.82 × 5,965.16
  4. Step 4: Simplify right side
    9,321.80x = 76,716,849.03
  5. Step 5: Solve for x
    x = 76,716,849.03/9,321.80
  6. Step 6: Final answer
    x = 8,229.83

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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.