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Finding the Fourth Proportional to 6,093.09, 9,137.76 and 3,169.80

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Solution

The fourth proportional to 6,093.09, 9,137.76 and 3,169.80 is: 4,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.09 : 9,137.76 = 3,169.80 : x
  2. Step 2: Convert to fraction form
    6,093.09/9,137.76 = 3,169.80/x
  3. Step 3: Cross multiply
    6,093.09x = 9,137.76 × 3,169.80
  4. Step 4: Simplify right side
    6,093.09x = 28,964,871.65
  5. Step 5: Solve for x
    x = 28,964,871.65/6,093.09
  6. Step 6: Final answer
    x = 4,753.72

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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.