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Finding the Fourth Proportional to 9,717, 14,573.09 and 4,169.72

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Solution

The fourth proportional to 9,717, 14,573.09 and 4,169.72 is: 6,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717 : 14,573.09 = 4,169.72 : x
  2. Step 2: Convert to fraction form
    9,717/14,573.09 = 4,169.72/x
  3. Step 3: Cross multiply
    9,717x = 14,573.09 × 4,169.72
  4. Step 4: Simplify right side
    9,717x = 60,765,611.12
  5. Step 5: Solve for x
    x = 60,765,611.12/9,717
  6. Step 6: Final answer
    x = 6,253.54

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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.