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Finding the Fourth Proportional to 9,383.72, 12,949.29 and 5,191.97

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Solution

The fourth proportional to 9,383.72, 12,949.29 and 5,191.97 is: 7,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.72 : 12,949.29 = 5,191.97 : x
  2. Step 2: Convert to fraction form
    9,383.72/12,949.29 = 5,191.97/x
  3. Step 3: Cross multiply
    9,383.72x = 12,949.29 × 5,191.97
  4. Step 4: Simplify right side
    9,383.72x = 67,232,260.45
  5. Step 5: Solve for x
    x = 67,232,260.45/9,383.72
  6. Step 6: Final answer
    x = 7,164.78

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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.