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Finding the Fourth Proportional to 6,144.66, 9,217.05 and 3,811.46

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Solution

The fourth proportional to 6,144.66, 9,217.05 and 3,811.46 is: 5,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.66 : 9,217.05 = 3,811.46 : x
  2. Step 2: Convert to fraction form
    6,144.66/9,217.05 = 3,811.46/x
  3. Step 3: Cross multiply
    6,144.66x = 9,217.05 × 3,811.46
  4. Step 4: Simplify right side
    6,144.66x = 35,130,375.29
  5. Step 5: Solve for x
    x = 35,130,375.29/6,144.66
  6. Step 6: Final answer
    x = 5,717.22

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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.