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Finding the Fourth Proportional to 9,174.72, 13,758.60 and 3,906.42

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Solution

The fourth proportional to 9,174.72, 13,758.60 and 3,906.42 is: 5,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.72 : 13,758.60 = 3,906.42 : x
  2. Step 2: Convert to fraction form
    9,174.72/13,758.60 = 3,906.42/x
  3. Step 3: Cross multiply
    9,174.72x = 13,758.60 × 3,906.42
  4. Step 4: Simplify right side
    9,174.72x = 53,746,870.21
  5. Step 5: Solve for x
    x = 53,746,870.21/9,174.72
  6. Step 6: Final answer
    x = 5,858.15

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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.