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Finding the Fourth Proportional to 8,836.27, 12,194.22 and 4,857.75

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Solution

The fourth proportional to 8,836.27, 12,194.22 and 4,857.75 is: 6,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.27 : 12,194.22 = 4,857.75 : x
  2. Step 2: Convert to fraction form
    8,836.27/12,194.22 = 4,857.75/x
  3. Step 3: Cross multiply
    8,836.27x = 12,194.22 × 4,857.75
  4. Step 4: Simplify right side
    8,836.27x = 59,236,472.21
  5. Step 5: Solve for x
    x = 59,236,472.21/8,836.27
  6. Step 6: Final answer
    x = 6,703.79

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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.