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Finding the Fourth Proportional to 6,403.11, 9,613.62 and 3,285.31

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Solution

The fourth proportional to 6,403.11, 9,613.62 and 3,285.31 is: 4,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.11 : 9,613.62 = 3,285.31 : x
  2. Step 2: Convert to fraction form
    6,403.11/9,613.62 = 3,285.31/x
  3. Step 3: Cross multiply
    6,403.11x = 9,613.62 × 3,285.31
  4. Step 4: Simplify right side
    6,403.11x = 31,583,721.92
  5. Step 5: Solve for x
    x = 31,583,721.92/6,403.11
  6. Step 6: Final answer
    x = 4,932.56

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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.