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Finding the Fourth Proportional to 9,982.68, 14,974.29 and 3,408.81

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Solution

The fourth proportional to 9,982.68, 14,974.29 and 3,408.81 is: 5,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.68 : 14,974.29 = 3,408.81 : x
  2. Step 2: Convert to fraction form
    9,982.68/14,974.29 = 3,408.81/x
  3. Step 3: Cross multiply
    9,982.68x = 14,974.29 × 3,408.81
  4. Step 4: Simplify right side
    9,982.68x = 51,044,509.49
  5. Step 5: Solve for x
    x = 51,044,509.49/9,982.68
  6. Step 6: Final answer
    x = 5,113.31

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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.