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Finding the Fourth Proportional to 9,199.34, 13,787.44 and 4,982.43

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Solution

The fourth proportional to 9,199.34, 13,787.44 and 4,982.43 is: 7,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.34 : 13,787.44 = 4,982.43 : x
  2. Step 2: Convert to fraction form
    9,199.34/13,787.44 = 4,982.43/x
  3. Step 3: Cross multiply
    9,199.34x = 13,787.44 × 4,982.43
  4. Step 4: Simplify right side
    9,199.34x = 68,694,920.21
  5. Step 5: Solve for x
    x = 68,694,920.21/9,199.34
  6. Step 6: Final answer
    x = 7,467.37

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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.