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Finding the Fourth Proportional to 9,982.72, 14,974.44 and 3,742.09

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Solution

The fourth proportional to 9,982.72, 14,974.44 and 3,742.09 is: 5,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.72 : 14,974.44 = 3,742.09 : x
  2. Step 2: Convert to fraction form
    9,982.72/14,974.44 = 3,742.09/x
  3. Step 3: Cross multiply
    9,982.72x = 14,974.44 × 3,742.09
  4. Step 4: Simplify right side
    9,982.72x = 56,035,702.18
  5. Step 5: Solve for x
    x = 56,035,702.18/9,982.72
  6. Step 6: Final answer
    x = 5,613.27

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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.