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Finding the Fourth Proportional to 9,244.67, 13,871.25 and 3,405.38

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Solution

The fourth proportional to 9,244.67, 13,871.25 and 3,405.38 is: 5,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.67 : 13,871.25 = 3,405.38 : x
  2. Step 2: Convert to fraction form
    9,244.67/13,871.25 = 3,405.38/x
  3. Step 3: Cross multiply
    9,244.67x = 13,871.25 × 3,405.38
  4. Step 4: Simplify right side
    9,244.67x = 47,236,807.97
  5. Step 5: Solve for x
    x = 47,236,807.97/9,244.67
  6. Step 6: Final answer
    x = 5,109.63

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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.