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Finding the Fourth Proportional to 8,196.74, 12,292.27 and 3,197.94

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Solution

The fourth proportional to 8,196.74, 12,292.27 and 3,197.94 is: 4,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.74 : 12,292.27 = 3,197.94 : x
  2. Step 2: Convert to fraction form
    8,196.74/12,292.27 = 3,197.94/x
  3. Step 3: Cross multiply
    8,196.74x = 12,292.27 × 3,197.94
  4. Step 4: Simplify right side
    8,196.74x = 39,309,941.92
  5. Step 5: Solve for x
    x = 39,309,941.92/8,196.74
  6. Step 6: Final answer
    x = 4,795.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.