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Finding the Fourth Proportional to 6,771.96, 9,340.38 and 6,033.24

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Solution

The fourth proportional to 6,771.96, 9,340.38 and 6,033.24 is: 8,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.96 : 9,340.38 = 6,033.24 : x
  2. Step 2: Convert to fraction form
    6,771.96/9,340.38 = 6,033.24/x
  3. Step 3: Cross multiply
    6,771.96x = 9,340.38 × 6,033.24
  4. Step 4: Simplify right side
    6,771.96x = 56,352,754.23
  5. Step 5: Solve for x
    x = 56,352,754.23/6,771.96
  6. Step 6: Final answer
    x = 8,321.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.