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Finding the Fourth Proportional to 8,433.92, 12,655.84 and 3,754.14

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Solution

The fourth proportional to 8,433.92, 12,655.84 and 3,754.14 is: 5,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.92 : 12,655.84 = 3,754.14 : x
  2. Step 2: Convert to fraction form
    8,433.92/12,655.84 = 3,754.14/x
  3. Step 3: Cross multiply
    8,433.92x = 12,655.84 × 3,754.14
  4. Step 4: Simplify right side
    8,433.92x = 47,511,795.18
  5. Step 5: Solve for x
    x = 47,511,795.18/8,433.92
  6. Step 6: Final answer
    x = 5,633.42

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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.