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Finding the Fourth Proportional to 9,422.22, 12,999.34 and 5,884.14

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Solution

The fourth proportional to 9,422.22, 12,999.34 and 5,884.14 is: 8,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.22 : 12,999.34 = 5,884.14 : x
  2. Step 2: Convert to fraction form
    9,422.22/12,999.34 = 5,884.14/x
  3. Step 3: Cross multiply
    9,422.22x = 12,999.34 × 5,884.14
  4. Step 4: Simplify right side
    9,422.22x = 76,489,936.47
  5. Step 5: Solve for x
    x = 76,489,936.47/9,422.22
  6. Step 6: Final answer
    x = 8,118.04

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