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Finding the Fourth Proportional to 6,738.66, 9,299.70 and 4,086.36

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Solution

The fourth proportional to 6,738.66, 9,299.70 and 4,086.36 is: 5,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.66 : 9,299.70 = 4,086.36 : x
  2. Step 2: Convert to fraction form
    6,738.66/9,299.70 = 4,086.36/x
  3. Step 3: Cross multiply
    6,738.66x = 9,299.70 × 4,086.36
  4. Step 4: Simplify right side
    6,738.66x = 38,001,922.09
  5. Step 5: Solve for x
    x = 38,001,922.09/6,738.66
  6. Step 6: Final answer
    x = 5,639.39

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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.