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Finding the Fourth Proportional to 8,138.20, 12,207.30 and 6,072.70

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Solution

The fourth proportional to 8,138.20, 12,207.30 and 6,072.70 is: 9,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.20 : 12,207.30 = 6,072.70 : x
  2. Step 2: Convert to fraction form
    8,138.20/12,207.30 = 6,072.70/x
  3. Step 3: Cross multiply
    8,138.20x = 12,207.30 × 6,072.70
  4. Step 4: Simplify right side
    8,138.20x = 74,131,270.71
  5. Step 5: Solve for x
    x = 74,131,270.71/8,138.20
  6. Step 6: Final answer
    x = 9,109.05

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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.