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Finding the Fourth Proportional to 6,686.83, 9,232.29 and 4,169.95

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Solution

The fourth proportional to 6,686.83, 9,232.29 and 4,169.95 is: 5,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.83 : 9,232.29 = 4,169.95 : x
  2. Step 2: Convert to fraction form
    6,686.83/9,232.29 = 4,169.95/x
  3. Step 3: Cross multiply
    6,686.83x = 9,232.29 × 4,169.95
  4. Step 4: Simplify right side
    6,686.83x = 38,498,187.69
  5. Step 5: Solve for x
    x = 38,498,187.69/6,686.83
  6. Step 6: Final answer
    x = 5,757.32

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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.