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Finding the Fourth Proportional to 6,764.81, 9,329.38 and 4,247.15

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Solution

The fourth proportional to 6,764.81, 9,329.38 and 4,247.15 is: 5,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.81 : 9,329.38 = 4,247.15 : x
  2. Step 2: Convert to fraction form
    6,764.81/9,329.38 = 4,247.15/x
  3. Step 3: Cross multiply
    6,764.81x = 9,329.38 × 4,247.15
  4. Step 4: Simplify right side
    6,764.81x = 39,623,263.56
  5. Step 5: Solve for x
    x = 39,623,263.56/6,764.81
  6. Step 6: Final answer
    x = 5,857.27

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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.