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Finding the Fourth Proportional to 9,879.96, 13,634.37 and 6,102.26

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Solution

The fourth proportional to 9,879.96, 13,634.37 and 6,102.26 is: 8,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.96 : 13,634.37 = 6,102.26 : x
  2. Step 2: Convert to fraction form
    9,879.96/13,634.37 = 6,102.26/x
  3. Step 3: Cross multiply
    9,879.96x = 13,634.37 × 6,102.26
  4. Step 4: Simplify right side
    9,879.96x = 83,200,470.68
  5. Step 5: Solve for x
    x = 83,200,470.68/9,879.96
  6. Step 6: Final answer
    x = 8,421.13

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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.