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Finding the Fourth Proportional to 9,704.80, 14,538.57 and 5,532.49

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Solution

The fourth proportional to 9,704.80, 14,538.57 and 5,532.49 is: 8,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.80 : 14,538.57 = 5,532.49 : x
  2. Step 2: Convert to fraction form
    9,704.80/14,538.57 = 5,532.49/x
  3. Step 3: Cross multiply
    9,704.80x = 14,538.57 × 5,532.49
  4. Step 4: Simplify right side
    9,704.80x = 80,434,493.14
  5. Step 5: Solve for x
    x = 80,434,493.14/9,704.80
  6. Step 6: Final answer
    x = 8,288.11

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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.