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Finding the Fourth Proportional to 9,967.38, 14,857.26 and 9,649.06

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Solution

The fourth proportional to 9,967.38, 14,857.26 and 9,649.06 is: 14,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.38 : 14,857.26 = 9,649.06 : x
  2. Step 2: Convert to fraction form
    9,967.38/14,857.26 = 9,649.06/x
  3. Step 3: Cross multiply
    9,967.38x = 14,857.26 × 9,649.06
  4. Step 4: Simplify right side
    9,967.38x = 143,358,593.18
  5. Step 5: Solve for x
    x = 143,358,593.18/9,967.38
  6. Step 6: Final answer
    x = 14,382.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.