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Finding the Fourth Proportional to 9,982.31, 14,976.03 and 3,742.41

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Solution

The fourth proportional to 9,982.31, 14,976.03 and 3,742.41 is: 5,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.31 : 14,976.03 = 3,742.41 : x
  2. Step 2: Convert to fraction form
    9,982.31/14,976.03 = 3,742.41/x
  3. Step 3: Cross multiply
    9,982.31x = 14,976.03 × 3,742.41
  4. Step 4: Simplify right side
    9,982.31x = 56,046,444.43
  5. Step 5: Solve for x
    x = 56,046,444.43/9,982.31
  6. Step 6: Final answer
    x = 5,614.58

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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.