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Finding the Fourth Proportional to 6,435.62, 9,656.21 and 2,489.66

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Solution

The fourth proportional to 6,435.62, 9,656.21 and 2,489.66 is: 3,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.62 : 9,656.21 = 2,489.66 : x
  2. Step 2: Convert to fraction form
    6,435.62/9,656.21 = 2,489.66/x
  3. Step 3: Cross multiply
    6,435.62x = 9,656.21 × 2,489.66
  4. Step 4: Simplify right side
    6,435.62x = 24,040,619.06
  5. Step 5: Solve for x
    x = 24,040,619.06/6,435.62
  6. Step 6: Final answer
    x = 3,735.56

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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.