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Finding the Fourth Proportional to 9,162.22, 13,745.20 and 3,897.22

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Solution

The fourth proportional to 9,162.22, 13,745.20 and 3,897.22 is: 5,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.22 : 13,745.20 = 3,897.22 : x
  2. Step 2: Convert to fraction form
    9,162.22/13,745.20 = 3,897.22/x
  3. Step 3: Cross multiply
    9,162.22x = 13,745.20 × 3,897.22
  4. Step 4: Simplify right side
    9,162.22x = 53,568,068.34
  5. Step 5: Solve for x
    x = 53,568,068.34/9,162.22
  6. Step 6: Final answer
    x = 5,846.63

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