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Finding the Fourth Proportional to 6,738.66, 9,299.61 and 3,905.99

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Solution

The fourth proportional to 6,738.66, 9,299.61 and 3,905.99 is: 5,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.66 : 9,299.61 = 3,905.99 : x
  2. Step 2: Convert to fraction form
    6,738.66/9,299.61 = 3,905.99/x
  3. Step 3: Cross multiply
    6,738.66x = 9,299.61 × 3,905.99
  4. Step 4: Simplify right side
    6,738.66x = 36,324,137.17
  5. Step 5: Solve for x
    x = 36,324,137.17/6,738.66
  6. Step 6: Final answer
    x = 5,390.41

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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.