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Finding the Fourth Proportional to 8,294.22, 11,446.83 and 6,194.70

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Solution

The fourth proportional to 8,294.22, 11,446.83 and 6,194.70 is: 8,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.22 : 11,446.83 = 6,194.70 : x
  2. Step 2: Convert to fraction form
    8,294.22/11,446.83 = 6,194.70/x
  3. Step 3: Cross multiply
    8,294.22x = 11,446.83 × 6,194.70
  4. Step 4: Simplify right side
    8,294.22x = 70,909,677.80
  5. Step 5: Solve for x
    x = 70,909,677.80/8,294.22
  6. Step 6: Final answer
    x = 8,549.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.