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Finding the Fourth Proportional to 9,640.68, 14,451.16 and 5,471.88

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Solution

The fourth proportional to 9,640.68, 14,451.16 and 5,471.88 is: 8,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.68 : 14,451.16 = 5,471.88 : x
  2. Step 2: Convert to fraction form
    9,640.68/14,451.16 = 5,471.88/x
  3. Step 3: Cross multiply
    9,640.68x = 14,451.16 × 5,471.88
  4. Step 4: Simplify right side
    9,640.68x = 79,075,013.38
  5. Step 5: Solve for x
    x = 79,075,013.38/9,640.68
  6. Step 6: Final answer
    x = 8,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.