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Finding the Fourth Proportional to 6,742.74, 9,296.19 and 4,944.54

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Solution

The fourth proportional to 6,742.74, 9,296.19 and 4,944.54 is: 6,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.74 : 9,296.19 = 4,944.54 : x
  2. Step 2: Convert to fraction form
    6,742.74/9,296.19 = 4,944.54/x
  3. Step 3: Cross multiply
    6,742.74x = 9,296.19 × 4,944.54
  4. Step 4: Simplify right side
    6,742.74x = 45,965,383.30
  5. Step 5: Solve for x
    x = 45,965,383.30/6,742.74
  6. Step 6: Final answer
    x = 6,817.02

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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.