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Finding the Fourth Proportional to 6,738.54, 9,297.63 and 3,943.50

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Solution

The fourth proportional to 6,738.54, 9,297.63 and 3,943.50 is: 5,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.54 : 9,297.63 = 3,943.50 : x
  2. Step 2: Convert to fraction form
    6,738.54/9,297.63 = 3,943.50/x
  3. Step 3: Cross multiply
    6,738.54x = 9,297.63 × 3,943.50
  4. Step 4: Simplify right side
    6,738.54x = 36,665,203.91
  5. Step 5: Solve for x
    x = 36,665,203.91/6,738.54
  6. Step 6: Final answer
    x = 5,441.12

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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.