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Finding the Fourth Proportional to 9,982.32, 14,964.84 and 3,822

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Solution

The fourth proportional to 9,982.32, 14,964.84 and 3,822 is: 5,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.32 : 14,964.84 = 3,822 : x
  2. Step 2: Convert to fraction form
    9,982.32/14,964.84 = 3,822/x
  3. Step 3: Cross multiply
    9,982.32x = 14,964.84 × 3,822
  4. Step 4: Simplify right side
    9,982.32x = 57,195,618.48
  5. Step 5: Solve for x
    x = 57,195,618.48/9,982.32
  6. Step 6: Final answer
    x = 5,729.69

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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.