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Finding the Fourth Proportional to 6,753.72, 9,319.83 and 3,769.49

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Solution

The fourth proportional to 6,753.72, 9,319.83 and 3,769.49 is: 5,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.72 : 9,319.83 = 3,769.49 : x
  2. Step 2: Convert to fraction form
    6,753.72/9,319.83 = 3,769.49/x
  3. Step 3: Cross multiply
    6,753.72x = 9,319.83 × 3,769.49
  4. Step 4: Simplify right side
    6,753.72x = 35,130,994.53
  5. Step 5: Solve for x
    x = 35,130,994.53/6,753.72
  6. Step 6: Final answer
    x = 5,201.72

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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.