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Finding the Fourth Proportional to 6,464.20, 9,674.70 and 4,520.20

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Solution

The fourth proportional to 6,464.20, 9,674.70 and 4,520.20 is: 6,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.20 : 9,674.70 = 4,520.20 : x
  2. Step 2: Convert to fraction form
    6,464.20/9,674.70 = 4,520.20/x
  3. Step 3: Cross multiply
    6,464.20x = 9,674.70 × 4,520.20
  4. Step 4: Simplify right side
    6,464.20x = 43,731,578.94
  5. Step 5: Solve for x
    x = 43,731,578.94/6,464.20
  6. Step 6: Final answer
    x = 6,765.20

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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.