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Finding the Fourth Proportional to 9,912.63, 14,864.24 and 5,753.91

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Solution

The fourth proportional to 9,912.63, 14,864.24 and 5,753.91 is: 8,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.63 : 14,864.24 = 5,753.91 : x
  2. Step 2: Convert to fraction form
    9,912.63/14,864.24 = 5,753.91/x
  3. Step 3: Cross multiply
    9,912.63x = 14,864.24 × 5,753.91
  4. Step 4: Simplify right side
    9,912.63x = 85,527,536.94
  5. Step 5: Solve for x
    x = 85,527,536.94/9,912.63
  6. Step 6: Final answer
    x = 8,628.14

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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.