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Finding the Fourth Proportional to 9,757.26, 14,644.09 and 9,142.17

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Solution

The fourth proportional to 9,757.26, 14,644.09 and 9,142.17 is: 13,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.26 : 14,644.09 = 9,142.17 : x
  2. Step 2: Convert to fraction form
    9,757.26/14,644.09 = 9,142.17/x
  3. Step 3: Cross multiply
    9,757.26x = 14,644.09 × 9,142.17
  4. Step 4: Simplify right side
    9,757.26x = 133,878,760.28
  5. Step 5: Solve for x
    x = 133,878,760.28/9,757.26
  6. Step 6: Final answer
    x = 13,720.94

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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.