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Finding the Fourth Proportional to 6,944.28, 9,583.05 and 3,800.46

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Solution

The fourth proportional to 6,944.28, 9,583.05 and 3,800.46 is: 5,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.28 : 9,583.05 = 3,800.46 : x
  2. Step 2: Convert to fraction form
    6,944.28/9,583.05 = 3,800.46/x
  3. Step 3: Cross multiply
    6,944.28x = 9,583.05 × 3,800.46
  4. Step 4: Simplify right side
    6,944.28x = 36,419,998.20
  5. Step 5: Solve for x
    x = 36,419,998.20/6,944.28
  6. Step 6: Final answer
    x = 5,244.60

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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.