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Finding the Fourth Proportional to 9,640.36, 14,450.82 and 7,327

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Solution

The fourth proportional to 9,640.36, 14,450.82 and 7,327 is: 10,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.36 : 14,450.82 = 7,327 : x
  2. Step 2: Convert to fraction form
    9,640.36/14,450.82 = 7,327/x
  3. Step 3: Cross multiply
    9,640.36x = 14,450.82 × 7,327
  4. Step 4: Simplify right side
    9,640.36x = 105,881,158.14
  5. Step 5: Solve for x
    x = 105,881,158.14/9,640.36
  6. Step 6: Final answer
    x = 10,983.11

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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.