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Finding the Fourth Proportional to 6,296.12, 9,439.92 and 3,524.70

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Solution

The fourth proportional to 6,296.12, 9,439.92 and 3,524.70 is: 5,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.12 : 9,439.92 = 3,524.70 : x
  2. Step 2: Convert to fraction form
    6,296.12/9,439.92 = 3,524.70/x
  3. Step 3: Cross multiply
    6,296.12x = 9,439.92 × 3,524.70
  4. Step 4: Simplify right side
    6,296.12x = 33,272,892.00
  5. Step 5: Solve for x
    x = 33,272,892.00/6,296.12
  6. Step 6: Final answer
    x = 5,284.67

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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.