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Finding the Fourth Proportional to 9,292.26, 13,943.16 and 6,174.41

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Solution

The fourth proportional to 9,292.26, 13,943.16 and 6,174.41 is: 9,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.26 : 13,943.16 = 6,174.41 : x
  2. Step 2: Convert to fraction form
    9,292.26/13,943.16 = 6,174.41/x
  3. Step 3: Cross multiply
    9,292.26x = 13,943.16 × 6,174.41
  4. Step 4: Simplify right side
    9,292.26x = 86,090,716.82
  5. Step 5: Solve for x
    x = 86,090,716.82/9,292.26
  6. Step 6: Final answer
    x = 9,264.78

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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.