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Finding the Fourth Proportional to 9,166.30, 13,745.40 and 3,617.80

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Solution

The fourth proportional to 9,166.30, 13,745.40 and 3,617.80 is: 5,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.30 : 13,745.40 = 3,617.80 : x
  2. Step 2: Convert to fraction form
    9,166.30/13,745.40 = 3,617.80/x
  3. Step 3: Cross multiply
    9,166.30x = 13,745.40 × 3,617.80
  4. Step 4: Simplify right side
    9,166.30x = 49,728,108.12
  5. Step 5: Solve for x
    x = 49,728,108.12/9,166.30
  6. Step 6: Final answer
    x = 5,425.10

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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.