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Finding the Fourth Proportional to 9,102.25, 13,640.68 and 6,879.26

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Solution

The fourth proportional to 9,102.25, 13,640.68 and 6,879.26 is: 10,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.25 : 13,640.68 = 6,879.26 : x
  2. Step 2: Convert to fraction form
    9,102.25/13,640.68 = 6,879.26/x
  3. Step 3: Cross multiply
    9,102.25x = 13,640.68 × 6,879.26
  4. Step 4: Simplify right side
    9,102.25x = 93,837,698.90
  5. Step 5: Solve for x
    x = 93,837,698.90/9,102.25
  6. Step 6: Final answer
    x = 10,309.29

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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.