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Finding the Fourth Proportional to 9,993.44, 13,792.96 and 5,747.46

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Solution

The fourth proportional to 9,993.44, 13,792.96 and 5,747.46 is: 7,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.44 : 13,792.96 = 5,747.46 : x
  2. Step 2: Convert to fraction form
    9,993.44/13,792.96 = 5,747.46/x
  3. Step 3: Cross multiply
    9,993.44x = 13,792.96 × 5,747.46
  4. Step 4: Simplify right side
    9,993.44x = 79,274,485.88
  5. Step 5: Solve for x
    x = 79,274,485.88/9,993.44
  6. Step 6: Final answer
    x = 7,932.65

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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.