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Finding the Fourth Proportional to 9,142.49, 12,617.24 and 5,163.68

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Solution

The fourth proportional to 9,142.49, 12,617.24 and 5,163.68 is: 7,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.49 : 12,617.24 = 5,163.68 : x
  2. Step 2: Convert to fraction form
    9,142.49/12,617.24 = 5,163.68/x
  3. Step 3: Cross multiply
    9,142.49x = 12,617.24 × 5,163.68
  4. Step 4: Simplify right side
    9,142.49x = 65,151,395.57
  5. Step 5: Solve for x
    x = 65,151,395.57/9,142.49
  6. Step 6: Final answer
    x = 7,126.22

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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.