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Finding the Fourth Proportional to 9,923.51, 13,694.94 and 5,447.23

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Solution

The fourth proportional to 9,923.51, 13,694.94 and 5,447.23 is: 7,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.51 : 13,694.94 = 5,447.23 : x
  2. Step 2: Convert to fraction form
    9,923.51/13,694.94 = 5,447.23/x
  3. Step 3: Cross multiply
    9,923.51x = 13,694.94 × 5,447.23
  4. Step 4: Simplify right side
    9,923.51x = 74,599,453.78
  5. Step 5: Solve for x
    x = 74,599,453.78/9,923.51
  6. Step 6: Final answer
    x = 7,517.44

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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.