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Finding the Fourth Proportional to 9,757.21, 14,636.47 and 3,431.33

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Solution

The fourth proportional to 9,757.21, 14,636.47 and 3,431.33 is: 5,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.21 : 14,636.47 = 3,431.33 : x
  2. Step 2: Convert to fraction form
    9,757.21/14,636.47 = 3,431.33/x
  3. Step 3: Cross multiply
    9,757.21x = 14,636.47 × 3,431.33
  4. Step 4: Simplify right side
    9,757.21x = 50,222,553.92
  5. Step 5: Solve for x
    x = 50,222,553.92/9,757.21
  6. Step 6: Final answer
    x = 5,147.22

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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.