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Finding the Fourth Proportional to 6,426.93, 9,633.43 and 4,198.74

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Solution

The fourth proportional to 6,426.93, 9,633.43 and 4,198.74 is: 6,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.93 : 9,633.43 = 4,198.74 : x
  2. Step 2: Convert to fraction form
    6,426.93/9,633.43 = 4,198.74/x
  3. Step 3: Cross multiply
    6,426.93x = 9,633.43 × 4,198.74
  4. Step 4: Simplify right side
    6,426.93x = 40,448,237.00
  5. Step 5: Solve for x
    x = 40,448,237.00/6,426.93
  6. Step 6: Final answer
    x = 6,293.55

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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.