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Finding the Fourth Proportional to 9,618.82, 13,269.09 and 5,840.98

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Solution

The fourth proportional to 9,618.82, 13,269.09 and 5,840.98 is: 8,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.82 : 13,269.09 = 5,840.98 : x
  2. Step 2: Convert to fraction form
    9,618.82/13,269.09 = 5,840.98/x
  3. Step 3: Cross multiply
    9,618.82x = 13,269.09 × 5,840.98
  4. Step 4: Simplify right side
    9,618.82x = 77,504,489.31
  5. Step 5: Solve for x
    x = 77,504,489.31/9,618.82
  6. Step 6: Final answer
    x = 8,057.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.