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Finding the Fourth Proportional to 9,382.44, 12,947.46 and 5,190.12

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Solution

The fourth proportional to 9,382.44, 12,947.46 and 5,190.12 is: 7,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.44 : 12,947.46 = 5,190.12 : x
  2. Step 2: Convert to fraction form
    9,382.44/12,947.46 = 5,190.12/x
  3. Step 3: Cross multiply
    9,382.44x = 12,947.46 × 5,190.12
  4. Step 4: Simplify right side
    9,382.44x = 67,198,871.10
  5. Step 5: Solve for x
    x = 67,198,871.10/9,382.44
  6. Step 6: Final answer
    x = 7,162.20

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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.