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Finding the Fourth Proportional to 6,184.75, 9,279.17 and 4,112.90

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Solution

The fourth proportional to 6,184.75, 9,279.17 and 4,112.90 is: 6,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.75 : 9,279.17 = 4,112.90 : x
  2. Step 2: Convert to fraction form
    6,184.75/9,279.17 = 4,112.90/x
  3. Step 3: Cross multiply
    6,184.75x = 9,279.17 × 4,112.90
  4. Step 4: Simplify right side
    6,184.75x = 38,164,277.73
  5. Step 5: Solve for x
    x = 38,164,277.73/6,184.75
  6. Step 6: Final answer
    x = 6,170.71

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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.