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Finding the Fourth Proportional to 11,993.01, 17,994.71 and 6,439.87

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Solution

The fourth proportional to 11,993.01, 17,994.71 and 6,439.87 is: 9,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.01 : 17,994.71 = 6,439.87 : x
  2. Step 2: Convert to fraction form
    11,993.01/17,994.71 = 6,439.87/x
  3. Step 3: Cross multiply
    11,993.01x = 17,994.71 × 6,439.87
  4. Step 4: Simplify right side
    11,993.01x = 115,883,593.09
  5. Step 5: Solve for x
    x = 115,883,593.09/11,993.01
  6. Step 6: Final answer
    x = 9,662.59

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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.