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Finding the Fourth Proportional to 6,104.68, 9,131.94 and 4,874.49

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Solution

The fourth proportional to 6,104.68, 9,131.94 and 4,874.49 is: 7,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.68 : 9,131.94 = 4,874.49 : x
  2. Step 2: Convert to fraction form
    6,104.68/9,131.94 = 4,874.49/x
  3. Step 3: Cross multiply
    6,104.68x = 9,131.94 × 4,874.49
  4. Step 4: Simplify right side
    6,104.68x = 44,513,550.21
  5. Step 5: Solve for x
    x = 44,513,550.21/6,104.68
  6. Step 6: Final answer
    x = 7,291.71

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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.