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Finding the Fourth Proportional to 6,694.89, 9,238.95 and 4,042.23

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Solution

The fourth proportional to 6,694.89, 9,238.95 and 4,042.23 is: 5,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.89 : 9,238.95 = 4,042.23 : x
  2. Step 2: Convert to fraction form
    6,694.89/9,238.95 = 4,042.23/x
  3. Step 3: Cross multiply
    6,694.89x = 9,238.95 × 4,042.23
  4. Step 4: Simplify right side
    6,694.89x = 37,345,960.86
  5. Step 5: Solve for x
    x = 37,345,960.86/6,694.89
  6. Step 6: Final answer
    x = 5,578.28

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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.