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Finding the Fourth Proportional to 9,138.98, 13,706.82 and 2,563.56

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Solution

The fourth proportional to 9,138.98, 13,706.82 and 2,563.56 is: 3,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.98 : 13,706.82 = 2,563.56 : x
  2. Step 2: Convert to fraction form
    9,138.98/13,706.82 = 2,563.56/x
  3. Step 3: Cross multiply
    9,138.98x = 13,706.82 × 2,563.56
  4. Step 4: Simplify right side
    9,138.98x = 35,138,255.48
  5. Step 5: Solve for x
    x = 35,138,255.48/9,138.98
  6. Step 6: Final answer
    x = 3,844.88

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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.