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Finding the Fourth Proportional to 9,361.92, 12,833.76 and 9,194.40

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Solution

The fourth proportional to 9,361.92, 12,833.76 and 9,194.40 is: 12,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.92 : 12,833.76 = 9,194.40 : x
  2. Step 2: Convert to fraction form
    9,361.92/12,833.76 = 9,194.40/x
  3. Step 3: Cross multiply
    9,361.92x = 12,833.76 × 9,194.40
  4. Step 4: Simplify right side
    9,361.92x = 117,998,722.94
  5. Step 5: Solve for x
    x = 117,998,722.94/9,361.92
  6. Step 6: Final answer
    x = 12,604.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.