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Finding the Fourth Proportional to 6,772.01, 9,346.39 and 4,119.05

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Solution

The fourth proportional to 6,772.01, 9,346.39 and 4,119.05 is: 5,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.01 : 9,346.39 = 4,119.05 : x
  2. Step 2: Convert to fraction form
    6,772.01/9,346.39 = 4,119.05/x
  3. Step 3: Cross multiply
    6,772.01x = 9,346.39 × 4,119.05
  4. Step 4: Simplify right side
    6,772.01x = 38,498,260.80
  5. Step 5: Solve for x
    x = 38,498,260.80/6,772.01
  6. Step 6: Final answer
    x = 5,684.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.