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Finding the Fourth Proportional to 6,684.36, 9,221.34 and 4,327.26

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Solution

The fourth proportional to 6,684.36, 9,221.34 and 4,327.26 is: 5,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.36 : 9,221.34 = 4,327.26 : x
  2. Step 2: Convert to fraction form
    6,684.36/9,221.34 = 4,327.26/x
  3. Step 3: Cross multiply
    6,684.36x = 9,221.34 × 4,327.26
  4. Step 4: Simplify right side
    6,684.36x = 39,903,135.73
  5. Step 5: Solve for x
    x = 39,903,135.73/6,684.36
  6. Step 6: Final answer
    x = 5,969.63

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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.