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Finding the Fourth Proportional to 9,914.09, 14,863.17 and 6,786.41

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Solution

The fourth proportional to 9,914.09, 14,863.17 and 6,786.41 is: 10,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.09 : 14,863.17 = 6,786.41 : x
  2. Step 2: Convert to fraction form
    9,914.09/14,863.17 = 6,786.41/x
  3. Step 3: Cross multiply
    9,914.09x = 14,863.17 × 6,786.41
  4. Step 4: Simplify right side
    9,914.09x = 100,867,565.52
  5. Step 5: Solve for x
    x = 100,867,565.52/9,914.09
  6. Step 6: Final answer
    x = 10,174.16

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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.