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Finding the Fourth Proportional to 6,367, 9,552.93 and 2,471.71

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Solution

The fourth proportional to 6,367, 9,552.93 and 2,471.71 is: 3,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367 : 9,552.93 = 2,471.71 : x
  2. Step 2: Convert to fraction form
    6,367/9,552.93 = 2,471.71/x
  3. Step 3: Cross multiply
    6,367x = 9,552.93 × 2,471.71
  4. Step 4: Simplify right side
    6,367x = 23,612,072.61
  5. Step 5: Solve for x
    x = 23,612,072.61/6,367
  6. Step 6: Final answer
    x = 3,708.51

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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.