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Finding the Fourth Proportional to 6,101.43, 9,166.74 and 3,914.43

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Solution

The fourth proportional to 6,101.43, 9,166.74 and 3,914.43 is: 5,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.43 : 9,166.74 = 3,914.43 : x
  2. Step 2: Convert to fraction form
    6,101.43/9,166.74 = 3,914.43/x
  3. Step 3: Cross multiply
    6,101.43x = 9,166.74 × 3,914.43
  4. Step 4: Simplify right side
    6,101.43x = 35,882,562.06
  5. Step 5: Solve for x
    x = 35,882,562.06/6,101.43
  6. Step 6: Final answer
    x = 5,881.01

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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.