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Finding the Fourth Proportional to 9,142.00, 13,713.03 and 2,568.24

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Solution

The fourth proportional to 9,142.00, 13,713.03 and 2,568.24 is: 3,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.00 : 13,713.03 = 2,568.24 : x
  2. Step 2: Convert to fraction form
    9,142.00/13,713.03 = 2,568.24/x
  3. Step 3: Cross multiply
    9,142.00x = 13,713.03 × 2,568.24
  4. Step 4: Simplify right side
    9,142.00x = 35,218,352.17
  5. Step 5: Solve for x
    x = 35,218,352.17/9,142.00
  6. Step 6: Final answer
    x = 3,852.37

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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.