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Finding the Fourth Proportional to 9,382.44, 12,942.12 and 6,195.76

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Solution

The fourth proportional to 9,382.44, 12,942.12 and 6,195.76 is: 8,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.44 : 12,942.12 = 6,195.76 : x
  2. Step 2: Convert to fraction form
    9,382.44/12,942.12 = 6,195.76/x
  3. Step 3: Cross multiply
    9,382.44x = 12,942.12 × 6,195.76
  4. Step 4: Simplify right side
    9,382.44x = 80,186,269.41
  5. Step 5: Solve for x
    x = 80,186,269.41/9,382.44
  6. Step 6: Final answer
    x = 8,546.42

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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.