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Finding the Fourth Proportional to 9,137.97, 13,706.25 and 2,563.89

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Solution

The fourth proportional to 9,137.97, 13,706.25 and 2,563.89 is: 3,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.97 : 13,706.25 = 2,563.89 : x
  2. Step 2: Convert to fraction form
    9,137.97/13,706.25 = 2,563.89/x
  3. Step 3: Cross multiply
    9,137.97x = 13,706.25 × 2,563.89
  4. Step 4: Simplify right side
    9,137.97x = 35,141,317.31
  5. Step 5: Solve for x
    x = 35,141,317.31/9,137.97
  6. Step 6: Final answer
    x = 3,845.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.