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Finding the Fourth Proportional to 9,422.79, 14,134.19 and 3,874.65

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Solution

The fourth proportional to 9,422.79, 14,134.19 and 3,874.65 is: 5,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.79 : 14,134.19 = 3,874.65 : x
  2. Step 2: Convert to fraction form
    9,422.79/14,134.19 = 3,874.65/x
  3. Step 3: Cross multiply
    9,422.79x = 14,134.19 × 3,874.65
  4. Step 4: Simplify right side
    9,422.79x = 54,765,019.91
  5. Step 5: Solve for x
    x = 54,765,019.91/9,422.79
  6. Step 6: Final answer
    x = 5,811.98

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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.