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Finding the Fourth Proportional to 9,194.14, 13,794.90 and 4,198.88

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Solution

The fourth proportional to 9,194.14, 13,794.90 and 4,198.88 is: 6,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.14 : 13,794.90 = 4,198.88 : x
  2. Step 2: Convert to fraction form
    9,194.14/13,794.90 = 4,198.88/x
  3. Step 3: Cross multiply
    9,194.14x = 13,794.90 × 4,198.88
  4. Step 4: Simplify right side
    9,194.14x = 57,923,129.71
  5. Step 5: Solve for x
    x = 57,923,129.71/9,194.14
  6. Step 6: Final answer
    x = 6,300.01

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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.