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Finding the Fourth Proportional to 9,444.22, 14,168.22 and 5,290.14

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Solution

The fourth proportional to 9,444.22, 14,168.22 and 5,290.14 is: 7,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.22 : 14,168.22 = 5,290.14 : x
  2. Step 2: Convert to fraction form
    9,444.22/14,168.22 = 5,290.14/x
  3. Step 3: Cross multiply
    9,444.22x = 14,168.22 × 5,290.14
  4. Step 4: Simplify right side
    9,444.22x = 74,951,867.35
  5. Step 5: Solve for x
    x = 74,951,867.35/9,444.22
  6. Step 6: Final answer
    x = 7,936.27

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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.