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Finding the Fourth Proportional to 9,400.11, 14,102.03 and 4,206.03

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Solution

The fourth proportional to 9,400.11, 14,102.03 and 4,206.03 is: 6,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.11 : 14,102.03 = 4,206.03 : x
  2. Step 2: Convert to fraction form
    9,400.11/14,102.03 = 4,206.03/x
  3. Step 3: Cross multiply
    9,400.11x = 14,102.03 × 4,206.03
  4. Step 4: Simplify right side
    9,400.11x = 59,313,540.21
  5. Step 5: Solve for x
    x = 59,313,540.21/9,400.11
  6. Step 6: Final answer
    x = 6,309.88

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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.