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Finding the Fourth Proportional to 9,395.22, 14,093.91 and 5,499.66

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Solution

The fourth proportional to 9,395.22, 14,093.91 and 5,499.66 is: 8,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.22 : 14,093.91 = 5,499.66 : x
  2. Step 2: Convert to fraction form
    9,395.22/14,093.91 = 5,499.66/x
  3. Step 3: Cross multiply
    9,395.22x = 14,093.91 × 5,499.66
  4. Step 4: Simplify right side
    9,395.22x = 77,511,713.07
  5. Step 5: Solve for x
    x = 77,511,713.07/9,395.22
  6. Step 6: Final answer
    x = 8,250.12

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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.