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Finding the Fourth Proportional to 6,753, 9,319.08 and 3,768.64

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Solution

The fourth proportional to 6,753, 9,319.08 and 3,768.64 is: 5,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753 : 9,319.08 = 3,768.64 : x
  2. Step 2: Convert to fraction form
    6,753/9,319.08 = 3,768.64/x
  3. Step 3: Cross multiply
    6,753x = 9,319.08 × 3,768.64
  4. Step 4: Simplify right side
    6,753x = 35,120,257.65
  5. Step 5: Solve for x
    x = 35,120,257.65/6,753
  6. Step 6: Final answer
    x = 5,200.69

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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.