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Finding the Fourth Proportional to 9,104.31, 13,661.78 and 3,839

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Solution

The fourth proportional to 9,104.31, 13,661.78 and 3,839 is: 5,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.31 : 13,661.78 = 3,839 : x
  2. Step 2: Convert to fraction form
    9,104.31/13,661.78 = 3,839/x
  3. Step 3: Cross multiply
    9,104.31x = 13,661.78 × 3,839
  4. Step 4: Simplify right side
    9,104.31x = 52,447,573.42
  5. Step 5: Solve for x
    x = 52,447,573.42/9,104.31
  6. Step 6: Final answer
    x = 5,760.74

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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.