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Finding the Fourth Proportional to 6,512.42, 9,758.39 and 5,035.25

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Solution

The fourth proportional to 6,512.42, 9,758.39 and 5,035.25 is: 7,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.42 : 9,758.39 = 5,035.25 : x
  2. Step 2: Convert to fraction form
    6,512.42/9,758.39 = 5,035.25/x
  3. Step 3: Cross multiply
    6,512.42x = 9,758.39 × 5,035.25
  4. Step 4: Simplify right side
    6,512.42x = 49,135,859.28
  5. Step 5: Solve for x
    x = 49,135,859.28/6,512.42
  6. Step 6: Final answer
    x = 7,544.95

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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.