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Finding the Fourth Proportional to 9,134.90, 13,694.11 and 4,202.00

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Solution

The fourth proportional to 9,134.90, 13,694.11 and 4,202.00 is: 6,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.90 : 13,694.11 = 4,202.00 : x
  2. Step 2: Convert to fraction form
    9,134.90/13,694.11 = 4,202.00/x
  3. Step 3: Cross multiply
    9,134.90x = 13,694.11 × 4,202.00
  4. Step 4: Simplify right side
    9,134.90x = 57,542,571.24
  5. Step 5: Solve for x
    x = 57,542,571.24/9,134.90
  6. Step 6: Final answer
    x = 6,299.20

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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.