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Finding the Fourth Proportional to 6,738.05, 9,297.36 and 3,753.47

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Solution

The fourth proportional to 6,738.05, 9,297.36 and 3,753.47 is: 5,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.05 : 9,297.36 = 3,753.47 : x
  2. Step 2: Convert to fraction form
    6,738.05/9,297.36 = 3,753.47/x
  3. Step 3: Cross multiply
    6,738.05x = 9,297.36 × 3,753.47
  4. Step 4: Simplify right side
    6,738.05x = 34,897,315.35
  5. Step 5: Solve for x
    x = 34,897,315.35/6,738.05
  6. Step 6: Final answer
    x = 5,179.15

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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.