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Finding the Fourth Proportional to 8,949.09, 13,428.05 and 4,022.31

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Solution

The fourth proportional to 8,949.09, 13,428.05 and 4,022.31 is: 6,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.09 : 13,428.05 = 4,022.31 : x
  2. Step 2: Convert to fraction form
    8,949.09/13,428.05 = 4,022.31/x
  3. Step 3: Cross multiply
    8,949.09x = 13,428.05 × 4,022.31
  4. Step 4: Simplify right side
    8,949.09x = 54,011,759.68
  5. Step 5: Solve for x
    x = 54,011,759.68/8,949.09
  6. Step 6: Final answer
    x = 6,035.45

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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.