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Finding the Fourth Proportional to 8,273.34, 12,414.06 and 6,091.81

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Solution

The fourth proportional to 8,273.34, 12,414.06 and 6,091.81 is: 9,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.34 : 12,414.06 = 6,091.81 : x
  2. Step 2: Convert to fraction form
    8,273.34/12,414.06 = 6,091.81/x
  3. Step 3: Cross multiply
    8,273.34x = 12,414.06 × 6,091.81
  4. Step 4: Simplify right side
    8,273.34x = 75,624,063.81
  5. Step 5: Solve for x
    x = 75,624,063.81/8,273.34
  6. Step 6: Final answer
    x = 9,140.69

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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.