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Finding the Fourth Proportional to 6,425.96, 9,639.56 and 2,676.96

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Solution

The fourth proportional to 6,425.96, 9,639.56 and 2,676.96 is: 4,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.96 : 9,639.56 = 2,676.96 : x
  2. Step 2: Convert to fraction form
    6,425.96/9,639.56 = 2,676.96/x
  3. Step 3: Cross multiply
    6,425.96x = 9,639.56 × 2,676.96
  4. Step 4: Simplify right side
    6,425.96x = 25,804,716.54
  5. Step 5: Solve for x
    x = 25,804,716.54/6,425.96
  6. Step 6: Final answer
    x = 4,015.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.