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Finding the Fourth Proportional to 9,137.64, 13,706.46 and 2,212.14

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Solution

The fourth proportional to 9,137.64, 13,706.46 and 2,212.14 is: 3,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.64 : 13,706.46 = 2,212.14 : x
  2. Step 2: Convert to fraction form
    9,137.64/13,706.46 = 2,212.14/x
  3. Step 3: Cross multiply
    9,137.64x = 13,706.46 × 2,212.14
  4. Step 4: Simplify right side
    9,137.64x = 30,320,608.42
  5. Step 5: Solve for x
    x = 30,320,608.42/9,137.64
  6. Step 6: Final answer
    x = 3,318.21

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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.