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Finding the Fourth Proportional to 6,684.26, 9,221.02 and 4,416.49

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Solution

The fourth proportional to 6,684.26, 9,221.02 and 4,416.49 is: 6,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.26 : 9,221.02 = 4,416.49 : x
  2. Step 2: Convert to fraction form
    6,684.26/9,221.02 = 4,416.49/x
  3. Step 3: Cross multiply
    6,684.26x = 9,221.02 × 4,416.49
  4. Step 4: Simplify right side
    6,684.26x = 40,724,542.62
  5. Step 5: Solve for x
    x = 40,724,542.62/6,684.26
  6. Step 6: Final answer
    x = 6,092.60

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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.