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Finding the Fourth Proportional to 9,993.31, 13,792.78 and 5,747.34

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Solution

The fourth proportional to 9,993.31, 13,792.78 and 5,747.34 is: 7,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.31 : 13,792.78 = 5,747.34 : x
  2. Step 2: Convert to fraction form
    9,993.31/13,792.78 = 5,747.34/x
  3. Step 3: Cross multiply
    9,993.31x = 13,792.78 × 5,747.34
  4. Step 4: Simplify right side
    9,993.31x = 79,271,796.21
  5. Step 5: Solve for x
    x = 79,271,796.21/9,993.31
  6. Step 6: Final answer
    x = 7,932.49

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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.