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Finding the Fourth Proportional to 9,382.68, 12,942.46 and 6,196.02

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Solution

The fourth proportional to 9,382.68, 12,942.46 and 6,196.02 is: 8,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.68 : 12,942.46 = 6,196.02 : x
  2. Step 2: Convert to fraction form
    9,382.68/12,942.46 = 6,196.02/x
  3. Step 3: Cross multiply
    9,382.68x = 12,942.46 × 6,196.02
  4. Step 4: Simplify right side
    9,382.68x = 80,191,741.01
  5. Step 5: Solve for x
    x = 80,191,741.01/9,382.68
  6. Step 6: Final answer
    x = 8,546.78

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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.