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Finding the Fourth Proportional to 9,967.26, 13,755.42 and 5,491

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Solution

The fourth proportional to 9,967.26, 13,755.42 and 5,491 is: 7,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.26 : 13,755.42 = 5,491 : x
  2. Step 2: Convert to fraction form
    9,967.26/13,755.42 = 5,491/x
  3. Step 3: Cross multiply
    9,967.26x = 13,755.42 × 5,491
  4. Step 4: Simplify right side
    9,967.26x = 75,531,011.22
  5. Step 5: Solve for x
    x = 75,531,011.22/9,967.26
  6. Step 6: Final answer
    x = 7,577.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.