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Finding the Fourth Proportional to 9,801.21, 13,524.09 and 6,023.16

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Solution

The fourth proportional to 9,801.21, 13,524.09 and 6,023.16 is: 8,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.21 : 13,524.09 = 6,023.16 : x
  2. Step 2: Convert to fraction form
    9,801.21/13,524.09 = 6,023.16/x
  3. Step 3: Cross multiply
    9,801.21x = 13,524.09 × 6,023.16
  4. Step 4: Simplify right side
    9,801.21x = 81,457,757.92
  5. Step 5: Solve for x
    x = 81,457,757.92/9,801.21
  6. Step 6: Final answer
    x = 8,310.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.