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Finding the Fourth Proportional to 6,674.86, 9,212.43 and 4,022.47

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Solution

The fourth proportional to 6,674.86, 9,212.43 and 4,022.47 is: 5,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.86 : 9,212.43 = 4,022.47 : x
  2. Step 2: Convert to fraction form
    6,674.86/9,212.43 = 4,022.47/x
  3. Step 3: Cross multiply
    6,674.86x = 9,212.43 × 4,022.47
  4. Step 4: Simplify right side
    6,674.86x = 37,056,723.30
  5. Step 5: Solve for x
    x = 37,056,723.30/6,674.86
  6. Step 6: Final answer
    x = 5,551.69

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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.