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Finding the Fourth Proportional to 6,144.88, 9,212.68 and 3,180.14

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Solution

The fourth proportional to 6,144.88, 9,212.68 and 3,180.14 is: 4,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.88 : 9,212.68 = 3,180.14 : x
  2. Step 2: Convert to fraction form
    6,144.88/9,212.68 = 3,180.14/x
  3. Step 3: Cross multiply
    6,144.88x = 9,212.68 × 3,180.14
  4. Step 4: Simplify right side
    6,144.88x = 29,297,612.18
  5. Step 5: Solve for x
    x = 29,297,612.18/6,144.88
  6. Step 6: Final answer
    x = 4,767.81

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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.