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Finding the Fourth Proportional to 9,234.92, 13,852.29 and 2,309.42

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Solution

The fourth proportional to 9,234.92, 13,852.29 and 2,309.42 is: 3,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.92 : 13,852.29 = 2,309.42 : x
  2. Step 2: Convert to fraction form
    9,234.92/13,852.29 = 2,309.42/x
  3. Step 3: Cross multiply
    9,234.92x = 13,852.29 × 2,309.42
  4. Step 4: Simplify right side
    9,234.92x = 31,990,755.57
  5. Step 5: Solve for x
    x = 31,990,755.57/9,234.92
  6. Step 6: Final answer
    x = 3,464.11

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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.