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Finding the Fourth Proportional to 9,899.67, 13,661.22 and 5,918.73

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Solution

The fourth proportional to 9,899.67, 13,661.22 and 5,918.73 is: 8,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.67 : 13,661.22 = 5,918.73 : x
  2. Step 2: Convert to fraction form
    9,899.67/13,661.22 = 5,918.73/x
  3. Step 3: Cross multiply
    9,899.67x = 13,661.22 × 5,918.73
  4. Step 4: Simplify right side
    9,899.67x = 80,857,072.65
  5. Step 5: Solve for x
    x = 80,857,072.65/9,899.67
  6. Step 6: Final answer
    x = 8,167.65

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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.