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Finding the Fourth Proportional to 8,196.63, 12,273.09 and 4,292.85

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Solution

The fourth proportional to 8,196.63, 12,273.09 and 4,292.85 is: 6,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.63 : 12,273.09 = 4,292.85 : x
  2. Step 2: Convert to fraction form
    8,196.63/12,273.09 = 4,292.85/x
  3. Step 3: Cross multiply
    8,196.63x = 12,273.09 × 4,292.85
  4. Step 4: Simplify right side
    8,196.63x = 52,686,534.41
  5. Step 5: Solve for x
    x = 52,686,534.41/8,196.63
  6. Step 6: Final answer
    x = 6,427.83

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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.