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Finding the Fourth Proportional to 6,224.58, 9,336.89 and 4,270.86

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Solution

The fourth proportional to 6,224.58, 9,336.89 and 4,270.86 is: 6,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.58 : 9,336.89 = 4,270.86 : x
  2. Step 2: Convert to fraction form
    6,224.58/9,336.89 = 4,270.86/x
  3. Step 3: Cross multiply
    6,224.58x = 9,336.89 × 4,270.86
  4. Step 4: Simplify right side
    6,224.58x = 39,876,550.03
  5. Step 5: Solve for x
    x = 39,876,550.03/6,224.58
  6. Step 6: Final answer
    x = 6,406.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.