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Finding the Fourth Proportional to 9,245.66, 13,866 and 4,310.48

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Solution

The fourth proportional to 9,245.66, 13,866 and 4,310.48 is: 6,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.66 : 13,866 = 4,310.48 : x
  2. Step 2: Convert to fraction form
    9,245.66/13,866 = 4,310.48/x
  3. Step 3: Cross multiply
    9,245.66x = 13,866 × 4,310.48
  4. Step 4: Simplify right side
    9,245.66x = 59,769,115.68
  5. Step 5: Solve for x
    x = 59,769,115.68/9,245.66
  6. Step 6: Final answer
    x = 6,464.56

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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.