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Finding the Fourth Proportional to 9,281.22, 13,924.94 and 6,173.49

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Solution

The fourth proportional to 9,281.22, 13,924.94 and 6,173.49 is: 9,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.22 : 13,924.94 = 6,173.49 : x
  2. Step 2: Convert to fraction form
    9,281.22/13,924.94 = 6,173.49/x
  3. Step 3: Cross multiply
    9,281.22x = 13,924.94 × 6,173.49
  4. Step 4: Simplify right side
    9,281.22x = 85,965,446.97
  5. Step 5: Solve for x
    x = 85,965,446.97/9,281.22
  6. Step 6: Final answer
    x = 9,262.30

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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.