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Finding the Fourth Proportional to 6,173.92, 9,254.19 and 2,474.24

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Solution

The fourth proportional to 6,173.92, 9,254.19 and 2,474.24 is: 3,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.92 : 9,254.19 = 2,474.24 : x
  2. Step 2: Convert to fraction form
    6,173.92/9,254.19 = 2,474.24/x
  3. Step 3: Cross multiply
    6,173.92x = 9,254.19 × 2,474.24
  4. Step 4: Simplify right side
    6,173.92x = 22,897,087.07
  5. Step 5: Solve for x
    x = 22,897,087.07/6,173.92
  6. Step 6: Final answer
    x = 3,708.68

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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.