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Finding the Fourth Proportional to 9,817.96, 14,727.09 and 2,422.42

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Solution

The fourth proportional to 9,817.96, 14,727.09 and 2,422.42 is: 3,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.96 : 14,727.09 = 2,422.42 : x
  2. Step 2: Convert to fraction form
    9,817.96/14,727.09 = 2,422.42/x
  3. Step 3: Cross multiply
    9,817.96x = 14,727.09 × 2,422.42
  4. Step 4: Simplify right side
    9,817.96x = 35,675,197.36
  5. Step 5: Solve for x
    x = 35,675,197.36/9,817.96
  6. Step 6: Final answer
    x = 3,633.67

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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.