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Finding the Fourth Proportional to 6,982.29, 9,637.94 and 4,465.41

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Solution

The fourth proportional to 6,982.29, 9,637.94 and 4,465.41 is: 6,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.29 : 9,637.94 = 4,465.41 : x
  2. Step 2: Convert to fraction form
    6,982.29/9,637.94 = 4,465.41/x
  3. Step 3: Cross multiply
    6,982.29x = 9,637.94 × 4,465.41
  4. Step 4: Simplify right side
    6,982.29x = 43,037,331.33
  5. Step 5: Solve for x
    x = 43,037,331.33/6,982.29
  6. Step 6: Final answer
    x = 6,163.78

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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.