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Finding the Fourth Proportional to 6,335.09, 8,743.62 and 4,177.83

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Solution

The fourth proportional to 6,335.09, 8,743.62 and 4,177.83 is: 5,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.09 : 8,743.62 = 4,177.83 : x
  2. Step 2: Convert to fraction form
    6,335.09/8,743.62 = 4,177.83/x
  3. Step 3: Cross multiply
    6,335.09x = 8,743.62 × 4,177.83
  4. Step 4: Simplify right side
    6,335.09x = 36,529,357.94
  5. Step 5: Solve for x
    x = 36,529,357.94/6,335.09
  6. Step 6: Final answer
    x = 5,766.19

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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.