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Finding the Fourth Proportional to 6,662.69, 9,194.09 and 3,829.39

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Solution

The fourth proportional to 6,662.69, 9,194.09 and 3,829.39 is: 5,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.69 : 9,194.09 = 3,829.39 : x
  2. Step 2: Convert to fraction form
    6,662.69/9,194.09 = 3,829.39/x
  3. Step 3: Cross multiply
    6,662.69x = 9,194.09 × 3,829.39
  4. Step 4: Simplify right side
    6,662.69x = 35,207,714.17
  5. Step 5: Solve for x
    x = 35,207,714.17/6,662.69
  6. Step 6: Final answer
    x = 5,284.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.