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Finding the Fourth Proportional to 9,943.41, 13,722 and 5,467.05

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Solution

The fourth proportional to 9,943.41, 13,722 and 5,467.05 is: 7,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.41 : 13,722 = 5,467.05 : x
  2. Step 2: Convert to fraction form
    9,943.41/13,722 = 5,467.05/x
  3. Step 3: Cross multiply
    9,943.41x = 13,722 × 5,467.05
  4. Step 4: Simplify right side
    9,943.41x = 75,018,860.10
  5. Step 5: Solve for x
    x = 75,018,860.10/9,943.41
  6. Step 6: Final answer
    x = 7,544.58

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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.