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Finding the Fourth Proportional to 6,789.80, 9,377.70 and 5,409.56

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Solution

The fourth proportional to 6,789.80, 9,377.70 and 5,409.56 is: 7,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.80 : 9,377.70 = 5,409.56 : x
  2. Step 2: Convert to fraction form
    6,789.80/9,377.70 = 5,409.56/x
  3. Step 3: Cross multiply
    6,789.80x = 9,377.70 × 5,409.56
  4. Step 4: Simplify right side
    6,789.80x = 50,729,230.81
  5. Step 5: Solve for x
    x = 50,729,230.81/6,789.80
  6. Step 6: Final answer
    x = 7,471.39

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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.