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Finding the Fourth Proportional to 9,169.97, 13,757.69 and 5,271.64

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Solution

The fourth proportional to 9,169.97, 13,757.69 and 5,271.64 is: 7,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.97 : 13,757.69 = 5,271.64 : x
  2. Step 2: Convert to fraction form
    9,169.97/13,757.69 = 5,271.64/x
  3. Step 3: Cross multiply
    9,169.97x = 13,757.69 × 5,271.64
  4. Step 4: Simplify right side
    9,169.97x = 72,525,588.91
  5. Step 5: Solve for x
    x = 72,525,588.91/9,169.97
  6. Step 6: Final answer
    x = 7,909.03

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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.