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Finding the Fourth Proportional to 9,137.28, 13,706.01 and 3,213.90

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Solution

The fourth proportional to 9,137.28, 13,706.01 and 3,213.90 is: 4,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.28 : 13,706.01 = 3,213.90 : x
  2. Step 2: Convert to fraction form
    9,137.28/13,706.01 = 3,213.90/x
  3. Step 3: Cross multiply
    9,137.28x = 13,706.01 × 3,213.90
  4. Step 4: Simplify right side
    9,137.28x = 44,049,745.54
  5. Step 5: Solve for x
    x = 44,049,745.54/9,137.28
  6. Step 6: Final answer
    x = 4,820.88

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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.