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Finding the Fourth Proportional to 6,464.14, 9,697.19 and 3,299.85

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Solution

The fourth proportional to 6,464.14, 9,697.19 and 3,299.85 is: 4,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.14 : 9,697.19 = 3,299.85 : x
  2. Step 2: Convert to fraction form
    6,464.14/9,697.19 = 3,299.85/x
  3. Step 3: Cross multiply
    6,464.14x = 9,697.19 × 3,299.85
  4. Step 4: Simplify right side
    6,464.14x = 31,999,280.67
  5. Step 5: Solve for x
    x = 31,999,280.67/6,464.14
  6. Step 6: Final answer
    x = 4,950.28

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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.