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Finding the Fourth Proportional to 6,694.26, 9,238.31 and 4,041.15

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Solution

The fourth proportional to 6,694.26, 9,238.31 and 4,041.15 is: 5,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.26 : 9,238.31 = 4,041.15 : x
  2. Step 2: Convert to fraction form
    6,694.26/9,238.31 = 4,041.15/x
  3. Step 3: Cross multiply
    6,694.26x = 9,238.31 × 4,041.15
  4. Step 4: Simplify right side
    6,694.26x = 37,333,396.46
  5. Step 5: Solve for x
    x = 37,333,396.46/6,694.26
  6. Step 6: Final answer
    x = 5,576.93

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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.