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Finding the Fourth Proportional to 6,738.85, 9,299.37 and 3,754.63

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Solution

The fourth proportional to 6,738.85, 9,299.37 and 3,754.63 is: 5,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.85 : 9,299.37 = 3,754.63 : x
  2. Step 2: Convert to fraction form
    6,738.85/9,299.37 = 3,754.63/x
  3. Step 3: Cross multiply
    6,738.85x = 9,299.37 × 3,754.63
  4. Step 4: Simplify right side
    6,738.85x = 34,915,693.58
  5. Step 5: Solve for x
    x = 34,915,693.58/6,738.85
  6. Step 6: Final answer
    x = 5,181.25

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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.