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Finding the Fourth Proportional to 6,983.28, 9,638.45 and 4,296.81

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Solution

The fourth proportional to 6,983.28, 9,638.45 and 4,296.81 is: 5,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.28 : 9,638.45 = 4,296.81 : x
  2. Step 2: Convert to fraction form
    6,983.28/9,638.45 = 4,296.81/x
  3. Step 3: Cross multiply
    6,983.28x = 9,638.45 × 4,296.81
  4. Step 4: Simplify right side
    6,983.28x = 41,414,566.86
  5. Step 5: Solve for x
    x = 41,414,566.86/6,983.28
  6. Step 6: Final answer
    x = 5,930.53

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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.