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Finding the Fourth Proportional to 9,209.84, 13,814.73 and 2,636.01

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Solution

The fourth proportional to 9,209.84, 13,814.73 and 2,636.01 is: 3,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.84 : 13,814.73 = 2,636.01 : x
  2. Step 2: Convert to fraction form
    9,209.84/13,814.73 = 2,636.01/x
  3. Step 3: Cross multiply
    9,209.84x = 13,814.73 × 2,636.01
  4. Step 4: Simplify right side
    9,209.84x = 36,415,766.43
  5. Step 5: Solve for x
    x = 36,415,766.43/9,209.84
  6. Step 6: Final answer
    x = 3,954.01

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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.