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Finding the Fourth Proportional to 9,165.88, 13,745.40 and 3,617.38

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Solution

The fourth proportional to 9,165.88, 13,745.40 and 3,617.38 is: 5,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.88 : 13,745.40 = 3,617.38 : x
  2. Step 2: Convert to fraction form
    9,165.88/13,745.40 = 3,617.38/x
  3. Step 3: Cross multiply
    9,165.88x = 13,745.40 × 3,617.38
  4. Step 4: Simplify right side
    9,165.88x = 49,722,335.05
  5. Step 5: Solve for x
    x = 49,722,335.05/9,165.88
  6. Step 6: Final answer
    x = 5,424.72

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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.