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Finding the Fourth Proportional to 9,537.68, 14,282.12 and 5,644.88

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Solution

The fourth proportional to 9,537.68, 14,282.12 and 5,644.88 is: 8,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.68 : 14,282.12 = 5,644.88 : x
  2. Step 2: Convert to fraction form
    9,537.68/14,282.12 = 5,644.88/x
  3. Step 3: Cross multiply
    9,537.68x = 14,282.12 × 5,644.88
  4. Step 4: Simplify right side
    9,537.68x = 80,620,853.55
  5. Step 5: Solve for x
    x = 80,620,853.55/9,537.68
  6. Step 6: Final answer
    x = 8,452.88

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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.