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Finding the Fourth Proportional to 8,273.49, 12,398.09 and 6,522.68

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Solution

The fourth proportional to 8,273.49, 12,398.09 and 6,522.68 is: 9,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.49 : 12,398.09 = 6,522.68 : x
  2. Step 2: Convert to fraction form
    8,273.49/12,398.09 = 6,522.68/x
  3. Step 3: Cross multiply
    8,273.49x = 12,398.09 × 6,522.68
  4. Step 4: Simplify right side
    8,273.49x = 80,868,679.08
  5. Step 5: Solve for x
    x = 80,868,679.08/8,273.49
  6. Step 6: Final answer
    x = 9,774.43

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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.