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Finding the Fourth Proportional to 8,205.96, 12,309.69 and 3,274.40

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Solution

The fourth proportional to 8,205.96, 12,309.69 and 3,274.40 is: 4,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.96 : 12,309.69 = 3,274.40 : x
  2. Step 2: Convert to fraction form
    8,205.96/12,309.69 = 3,274.40/x
  3. Step 3: Cross multiply
    8,205.96x = 12,309.69 × 3,274.40
  4. Step 4: Simplify right side
    8,205.96x = 40,306,848.94
  5. Step 5: Solve for x
    x = 40,306,848.94/8,205.96
  6. Step 6: Final answer
    x = 4,911.90

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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.