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Finding the Fourth Proportional to 9,305.38, 13,967.22 and 6,833.26

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Solution

The fourth proportional to 9,305.38, 13,967.22 and 6,833.26 is: 10,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.38 : 13,967.22 = 6,833.26 : x
  2. Step 2: Convert to fraction form
    9,305.38/13,967.22 = 6,833.26/x
  3. Step 3: Cross multiply
    9,305.38x = 13,967.22 × 6,833.26
  4. Step 4: Simplify right side
    9,305.38x = 95,441,645.74
  5. Step 5: Solve for x
    x = 95,441,645.74/9,305.38
  6. Step 6: Final answer
    x = 10,256.61

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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.