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Finding the Fourth Proportional to 8,200.97, 12,307.44 and 3,272.02

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Solution

The fourth proportional to 8,200.97, 12,307.44 and 3,272.02 is: 4,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.97 : 12,307.44 = 3,272.02 : x
  2. Step 2: Convert to fraction form
    8,200.97/12,307.44 = 3,272.02/x
  3. Step 3: Cross multiply
    8,200.97x = 12,307.44 × 3,272.02
  4. Step 4: Simplify right side
    8,200.97x = 40,270,189.83
  5. Step 5: Solve for x
    x = 40,270,189.83/8,200.97
  6. Step 6: Final answer
    x = 4,910.42

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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.