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Finding the Fourth Proportional to 6,786.08, 9,364.69 and 3,801.96

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Solution

The fourth proportional to 6,786.08, 9,364.69 and 3,801.96 is: 5,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.08 : 9,364.69 = 3,801.96 : x
  2. Step 2: Convert to fraction form
    6,786.08/9,364.69 = 3,801.96/x
  3. Step 3: Cross multiply
    6,786.08x = 9,364.69 × 3,801.96
  4. Step 4: Simplify right side
    6,786.08x = 35,604,197.19
  5. Step 5: Solve for x
    x = 35,604,197.19/6,786.08
  6. Step 6: Final answer
    x = 5,246.65

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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.