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Finding the Fourth Proportional to 9,137.68, 13,706.54 and 2,212.18

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Solution

The fourth proportional to 9,137.68, 13,706.54 and 2,212.18 is: 3,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.68 : 13,706.54 = 2,212.18 : x
  2. Step 2: Convert to fraction form
    9,137.68/13,706.54 = 2,212.18/x
  3. Step 3: Cross multiply
    9,137.68x = 13,706.54 × 2,212.18
  4. Step 4: Simplify right side
    9,137.68x = 30,321,296.63
  5. Step 5: Solve for x
    x = 30,321,296.63/9,137.68
  6. Step 6: Final answer
    x = 3,318.27

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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.