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Finding the Fourth Proportional to 9,170.22, 13,761 and 3,622.62

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Solution

The fourth proportional to 9,170.22, 13,761 and 3,622.62 is: 5,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.22 : 13,761 = 3,622.62 : x
  2. Step 2: Convert to fraction form
    9,170.22/13,761 = 3,622.62/x
  3. Step 3: Cross multiply
    9,170.22x = 13,761 × 3,622.62
  4. Step 4: Simplify right side
    9,170.22x = 49,850,873.82
  5. Step 5: Solve for x
    x = 49,850,873.82/9,170.22
  6. Step 6: Final answer
    x = 5,436.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.