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Finding the Fourth Proportional to 9,484.97, 14,229.27 and 3,641.12

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Solution

The fourth proportional to 9,484.97, 14,229.27 and 3,641.12 is: 5,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.97 : 14,229.27 = 3,641.12 : x
  2. Step 2: Convert to fraction form
    9,484.97/14,229.27 = 3,641.12/x
  3. Step 3: Cross multiply
    9,484.97x = 14,229.27 × 3,641.12
  4. Step 4: Simplify right side
    9,484.97x = 51,810,408.44
  5. Step 5: Solve for x
    x = 51,810,408.44/9,484.97
  6. Step 6: Final answer
    x = 5,462.37

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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.