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Finding the Fourth Proportional to 9,167.67, 13,681.26 and 8,183.52

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Solution

The fourth proportional to 9,167.67, 13,681.26 and 8,183.52 is: 12,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.67 : 13,681.26 = 8,183.52 : x
  2. Step 2: Convert to fraction form
    9,167.67/13,681.26 = 8,183.52/x
  3. Step 3: Cross multiply
    9,167.67x = 13,681.26 × 8,183.52
  4. Step 4: Simplify right side
    9,167.67x = 111,960,864.84
  5. Step 5: Solve for x
    x = 111,960,864.84/9,167.67
  6. Step 6: Final answer
    x = 12,212.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.