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Finding the Fourth Proportional to 6,420.70, 9,631.05 and 3,296.35

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Solution

The fourth proportional to 6,420.70, 9,631.05 and 3,296.35 is: 4,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.70 : 9,631.05 = 3,296.35 : x
  2. Step 2: Convert to fraction form
    6,420.70/9,631.05 = 3,296.35/x
  3. Step 3: Cross multiply
    6,420.70x = 9,631.05 × 3,296.35
  4. Step 4: Simplify right side
    6,420.70x = 31,747,311.67
  5. Step 5: Solve for x
    x = 31,747,311.67/6,420.70
  6. Step 6: Final answer
    x = 4,944.53

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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.