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Finding the Fourth Proportional to 9,194.92, 12,694.22 and 6,056.57

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Solution

The fourth proportional to 9,194.92, 12,694.22 and 6,056.57 is: 8,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.92 : 12,694.22 = 6,056.57 : x
  2. Step 2: Convert to fraction form
    9,194.92/12,694.22 = 6,056.57/x
  3. Step 3: Cross multiply
    9,194.92x = 12,694.22 × 6,056.57
  4. Step 4: Simplify right side
    9,194.92x = 76,883,456.19
  5. Step 5: Solve for x
    x = 76,883,456.19/9,194.92
  6. Step 6: Final answer
    x = 8,361.52

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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.