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Finding the Fourth Proportional to 9,422.74, 14,138.83 and 4,491.14

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Solution

The fourth proportional to 9,422.74, 14,138.83 and 4,491.14 is: 6,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.74 : 14,138.83 = 4,491.14 : x
  2. Step 2: Convert to fraction form
    9,422.74/14,138.83 = 4,491.14/x
  3. Step 3: Cross multiply
    9,422.74x = 14,138.83 × 4,491.14
  4. Step 4: Simplify right side
    9,422.74x = 63,499,464.97
  5. Step 5: Solve for x
    x = 63,499,464.97/9,422.74
  6. Step 6: Final answer
    x = 6,738.96

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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.