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Finding the Fourth Proportional to 9,982.84, 14,974.17 and 3,826.84

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Solution

The fourth proportional to 9,982.84, 14,974.17 and 3,826.84 is: 5,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.84 : 14,974.17 = 3,826.84 : x
  2. Step 2: Convert to fraction form
    9,982.84/14,974.17 = 3,826.84/x
  3. Step 3: Cross multiply
    9,982.84x = 14,974.17 × 3,826.84
  4. Step 4: Simplify right side
    9,982.84x = 57,303,752.72
  5. Step 5: Solve for x
    x = 57,303,752.72/9,982.84
  6. Step 6: Final answer
    x = 5,740.23

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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.