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Finding the Fourth Proportional to 6,940.18, 9,576.93 and 4,107.88

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Solution

The fourth proportional to 6,940.18, 9,576.93 and 4,107.88 is: 5,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.18 : 9,576.93 = 4,107.88 : x
  2. Step 2: Convert to fraction form
    6,940.18/9,576.93 = 4,107.88/x
  3. Step 3: Cross multiply
    6,940.18x = 9,576.93 × 4,107.88
  4. Step 4: Simplify right side
    6,940.18x = 39,340,879.21
  5. Step 5: Solve for x
    x = 39,340,879.21/6,940.18
  6. Step 6: Final answer
    x = 5,668.57

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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.