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Finding the Fourth Proportional to 6,481.28, 8,942.64 and 4,806.56

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Solution

The fourth proportional to 6,481.28, 8,942.64 and 4,806.56 is: 6,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.28 : 8,942.64 = 4,806.56 : x
  2. Step 2: Convert to fraction form
    6,481.28/8,942.64 = 4,806.56/x
  3. Step 3: Cross multiply
    6,481.28x = 8,942.64 × 4,806.56
  4. Step 4: Simplify right side
    6,481.28x = 42,983,335.72
  5. Step 5: Solve for x
    x = 42,983,335.72/6,481.28
  6. Step 6: Final answer
    x = 6,631.92

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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.