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Finding the Fourth Proportional to 6,884.60, 9,499.82 and 3,900.69

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Solution

The fourth proportional to 6,884.60, 9,499.82 and 3,900.69 is: 5,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.60 : 9,499.82 = 3,900.69 : x
  2. Step 2: Convert to fraction form
    6,884.60/9,499.82 = 3,900.69/x
  3. Step 3: Cross multiply
    6,884.60x = 9,499.82 × 3,900.69
  4. Step 4: Simplify right side
    6,884.60x = 37,055,833.37
  5. Step 5: Solve for x
    x = 37,055,833.37/6,884.60
  6. Step 6: Final answer
    x = 5,382.43

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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.