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Finding the Fourth Proportional to 9,998.54, 13,799.68 and 5,809.22

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Solution

The fourth proportional to 9,998.54, 13,799.68 and 5,809.22 is: 8,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.54 : 13,799.68 = 5,809.22 : x
  2. Step 2: Convert to fraction form
    9,998.54/13,799.68 = 5,809.22/x
  3. Step 3: Cross multiply
    9,998.54x = 13,799.68 × 5,809.22
  4. Step 4: Simplify right side
    9,998.54x = 80,165,377.05
  5. Step 5: Solve for x
    x = 80,165,377.05/9,998.54
  6. Step 6: Final answer
    x = 8,017.71

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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.