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Finding the Fourth Proportional to 6,359.82, 9,542.57 and 2,464.53

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Solution

The fourth proportional to 6,359.82, 9,542.57 and 2,464.53 is: 3,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.82 : 9,542.57 = 2,464.53 : x
  2. Step 2: Convert to fraction form
    6,359.82/9,542.57 = 2,464.53/x
  3. Step 3: Cross multiply
    6,359.82x = 9,542.57 × 2,464.53
  4. Step 4: Simplify right side
    6,359.82x = 23,517,937.72
  5. Step 5: Solve for x
    x = 23,517,937.72/6,359.82
  6. Step 6: Final answer
    x = 3,697.89

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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.