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Finding the Fourth Proportional to 9,443.43, 14,163.75 and 5,496.57

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Solution

The fourth proportional to 9,443.43, 14,163.75 and 5,496.57 is: 8,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.43 : 14,163.75 = 5,496.57 : x
  2. Step 2: Convert to fraction form
    9,443.43/14,163.75 = 5,496.57/x
  3. Step 3: Cross multiply
    9,443.43x = 14,163.75 × 5,496.57
  4. Step 4: Simplify right side
    9,443.43x = 77,852,043.34
  5. Step 5: Solve for x
    x = 77,852,043.34/9,443.43
  6. Step 6: Final answer
    x = 8,244.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.