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Finding the Fourth Proportional to 9,234.49, 13,849.71 and 2,659.25

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Solution

The fourth proportional to 9,234.49, 13,849.71 and 2,659.25 is: 3,988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.49 : 13,849.71 = 2,659.25 : x
  2. Step 2: Convert to fraction form
    9,234.49/13,849.71 = 2,659.25/x
  3. Step 3: Cross multiply
    9,234.49x = 13,849.71 × 2,659.25
  4. Step 4: Simplify right side
    9,234.49x = 36,829,795.54
  5. Step 5: Solve for x
    x = 36,829,795.54/9,234.49
  6. Step 6: Final answer
    x = 3,988.29

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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.