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Finding the Fourth Proportional to 6,152.76, 9,227.12 and 3,382.56

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Solution

The fourth proportional to 6,152.76, 9,227.12 and 3,382.56 is: 5,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.76 : 9,227.12 = 3,382.56 : x
  2. Step 2: Convert to fraction form
    6,152.76/9,227.12 = 3,382.56/x
  3. Step 3: Cross multiply
    6,152.76x = 9,227.12 × 3,382.56
  4. Step 4: Simplify right side
    6,152.76x = 31,211,270.11
  5. Step 5: Solve for x
    x = 31,211,270.11/6,152.76
  6. Step 6: Final answer
    x = 5,072.73

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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.