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Finding the Fourth Proportional to 6,739.44, 9,295.12 and 4,382.32

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Solution

The fourth proportional to 6,739.44, 9,295.12 and 4,382.32 is: 6,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.44 : 9,295.12 = 4,382.32 : x
  2. Step 2: Convert to fraction form
    6,739.44/9,295.12 = 4,382.32/x
  3. Step 3: Cross multiply
    6,739.44x = 9,295.12 × 4,382.32
  4. Step 4: Simplify right side
    6,739.44x = 40,734,190.28
  5. Step 5: Solve for x
    x = 40,734,190.28/6,739.44
  6. Step 6: Final answer
    x = 6,044.15

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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.