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Finding the Fourth Proportional to 6,812.82, 9,402.30 and 3,829.39

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Solution

The fourth proportional to 6,812.82, 9,402.30 and 3,829.39 is: 5,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.82 : 9,402.30 = 3,829.39 : x
  2. Step 2: Convert to fraction form
    6,812.82/9,402.30 = 3,829.39/x
  3. Step 3: Cross multiply
    6,812.82x = 9,402.30 × 3,829.39
  4. Step 4: Simplify right side
    6,812.82x = 36,005,050.09
  5. Step 5: Solve for x
    x = 36,005,050.09/6,812.82
  6. Step 6: Final answer
    x = 5,284.90

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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.