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Finding the Fourth Proportional to 9,046.26, 12,491.28 and 5,694.48

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Solution

The fourth proportional to 9,046.26, 12,491.28 and 5,694.48 is: 7,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.26 : 12,491.28 = 5,694.48 : x
  2. Step 2: Convert to fraction form
    9,046.26/12,491.28 = 5,694.48/x
  3. Step 3: Cross multiply
    9,046.26x = 12,491.28 × 5,694.48
  4. Step 4: Simplify right side
    9,046.26x = 71,131,344.13
  5. Step 5: Solve for x
    x = 71,131,344.13/9,046.26
  6. Step 6: Final answer
    x = 7,863.07

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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.