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Finding the Fourth Proportional to 6,318.09, 9,466.65 and 3,845.43

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Solution

The fourth proportional to 6,318.09, 9,466.65 and 3,845.43 is: 5,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.09 : 9,466.65 = 3,845.43 : x
  2. Step 2: Convert to fraction form
    6,318.09/9,466.65 = 3,845.43/x
  3. Step 3: Cross multiply
    6,318.09x = 9,466.65 × 3,845.43
  4. Step 4: Simplify right side
    6,318.09x = 36,403,339.91
  5. Step 5: Solve for x
    x = 36,403,339.91/6,318.09
  6. Step 6: Final answer
    x = 5,761.76

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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.