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Finding the Fourth Proportional to 9,175.54, 13,759.82 and 3,907.24

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Solution

The fourth proportional to 9,175.54, 13,759.82 and 3,907.24 is: 5,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.54 : 13,759.82 = 3,907.24 : x
  2. Step 2: Convert to fraction form
    9,175.54/13,759.82 = 3,907.24/x
  3. Step 3: Cross multiply
    9,175.54x = 13,759.82 × 3,907.24
  4. Step 4: Simplify right side
    9,175.54x = 53,762,919.10
  5. Step 5: Solve for x
    x = 53,762,919.10/9,175.54
  6. Step 6: Final answer
    x = 5,859.37

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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.