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Finding the Fourth Proportional to 6,769.71, 9,360.36 and 5,939.46

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Solution

The fourth proportional to 6,769.71, 9,360.36 and 5,939.46 is: 8,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.71 : 9,360.36 = 5,939.46 : x
  2. Step 2: Convert to fraction form
    6,769.71/9,360.36 = 5,939.46/x
  3. Step 3: Cross multiply
    6,769.71x = 9,360.36 × 5,939.46
  4. Step 4: Simplify right side
    6,769.71x = 55,595,483.81
  5. Step 5: Solve for x
    x = 55,595,483.81/6,769.71
  6. Step 6: Final answer
    x = 8,212.39

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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.