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Finding the Fourth Proportional to 6,168.74, 9,253.06 and 2,471.82

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Solution

The fourth proportional to 6,168.74, 9,253.06 and 2,471.82 is: 3,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.74 : 9,253.06 = 2,471.82 : x
  2. Step 2: Convert to fraction form
    6,168.74/9,253.06 = 2,471.82/x
  3. Step 3: Cross multiply
    6,168.74x = 9,253.06 × 2,471.82
  4. Step 4: Simplify right side
    6,168.74x = 22,871,898.77
  5. Step 5: Solve for x
    x = 22,871,898.77/6,168.74
  6. Step 6: Final answer
    x = 3,707.71

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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.