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Finding the Fourth Proportional to 9,993.68, 13,789.14 and 5,799.68

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Solution

The fourth proportional to 9,993.68, 13,789.14 and 5,799.68 is: 8,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.68 : 13,789.14 = 5,799.68 : x
  2. Step 2: Convert to fraction form
    9,993.68/13,789.14 = 5,799.68/x
  3. Step 3: Cross multiply
    9,993.68x = 13,789.14 × 5,799.68
  4. Step 4: Simplify right side
    9,993.68x = 79,972,599.48
  5. Step 5: Solve for x
    x = 79,972,599.48/9,993.68
  6. Step 6: Final answer
    x = 8,002.32

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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.