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Finding the Fourth Proportional to 9,687.84, 14,517.87 and 5,519.22

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Solution

The fourth proportional to 9,687.84, 14,517.87 and 5,519.22 is: 8,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.84 : 14,517.87 = 5,519.22 : x
  2. Step 2: Convert to fraction form
    9,687.84/14,517.87 = 5,519.22/x
  3. Step 3: Cross multiply
    9,687.84x = 14,517.87 × 5,519.22
  4. Step 4: Simplify right side
    9,687.84x = 80,127,318.46
  5. Step 5: Solve for x
    x = 80,127,318.46/9,687.84
  6. Step 6: Final answer
    x = 8,270.92

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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.