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Finding the Fourth Proportional to 9,500.87, 14,236.72 and 5,797.55

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Solution

The fourth proportional to 9,500.87, 14,236.72 and 5,797.55 is: 8,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.87 : 14,236.72 = 5,797.55 : x
  2. Step 2: Convert to fraction form
    9,500.87/14,236.72 = 5,797.55/x
  3. Step 3: Cross multiply
    9,500.87x = 14,236.72 × 5,797.55
  4. Step 4: Simplify right side
    9,500.87x = 82,538,096.04
  5. Step 5: Solve for x
    x = 82,538,096.04/9,500.87
  6. Step 6: Final answer
    x = 8,687.43

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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.