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Finding the Fourth Proportional to 9,994.89, 13,811.27 and 8,664.33

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Solution

The fourth proportional to 9,994.89, 13,811.27 and 8,664.33 is: 11,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.89 : 13,811.27 = 8,664.33 : x
  2. Step 2: Convert to fraction form
    9,994.89/13,811.27 = 8,664.33/x
  3. Step 3: Cross multiply
    9,994.89x = 13,811.27 × 8,664.33
  4. Step 4: Simplify right side
    9,994.89x = 119,665,357.68
  5. Step 5: Solve for x
    x = 119,665,357.68/9,994.89
  6. Step 6: Final answer
    x = 11,972.65

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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.