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Finding the Fourth Proportional to 9,231.69, 13,845.87 and 2,656.26

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Solution

The fourth proportional to 9,231.69, 13,845.87 and 2,656.26 is: 3,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.69 : 13,845.87 = 2,656.26 : x
  2. Step 2: Convert to fraction form
    9,231.69/13,845.87 = 2,656.26/x
  3. Step 3: Cross multiply
    9,231.69x = 13,845.87 × 2,656.26
  4. Step 4: Simplify right side
    9,231.69x = 36,778,230.65
  5. Step 5: Solve for x
    x = 36,778,230.65/9,231.69
  6. Step 6: Final answer
    x = 3,983.91

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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.