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Finding the Fourth Proportional to 6,296.35, 9,440.42 and 3,523.33

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Solution

The fourth proportional to 6,296.35, 9,440.42 and 3,523.33 is: 5,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.35 : 9,440.42 = 3,523.33 : x
  2. Step 2: Convert to fraction form
    6,296.35/9,440.42 = 3,523.33/x
  3. Step 3: Cross multiply
    6,296.35x = 9,440.42 × 3,523.33
  4. Step 4: Simplify right side
    6,296.35x = 33,261,697.38
  5. Step 5: Solve for x
    x = 33,261,697.38/6,296.35
  6. Step 6: Final answer
    x = 5,282.70

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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.