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Finding the Fourth Proportional to 9,194.41, 13,786.06 and 4,127.68

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Solution

The fourth proportional to 9,194.41, 13,786.06 and 4,127.68 is: 6,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.41 : 13,786.06 = 4,127.68 : x
  2. Step 2: Convert to fraction form
    9,194.41/13,786.06 = 4,127.68/x
  3. Step 3: Cross multiply
    9,194.41x = 13,786.06 × 4,127.68
  4. Step 4: Simplify right side
    9,194.41x = 56,904,444.14
  5. Step 5: Solve for x
    x = 56,904,444.14/9,194.41
  6. Step 6: Final answer
    x = 6,189.03

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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.