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Finding the Fourth Proportional to 9,382.80, 12,949.12 and 5,191.84

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Solution

The fourth proportional to 9,382.80, 12,949.12 and 5,191.84 is: 7,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.80 : 12,949.12 = 5,191.84 : x
  2. Step 2: Convert to fraction form
    9,382.80/12,949.12 = 5,191.84/x
  3. Step 3: Cross multiply
    9,382.80x = 12,949.12 × 5,191.84
  4. Step 4: Simplify right side
    9,382.80x = 67,229,759.18
  5. Step 5: Solve for x
    x = 67,229,759.18/9,382.80
  6. Step 6: Final answer
    x = 7,165.21

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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.