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Finding the Fourth Proportional to 9,805.34, 13,522.05 and 6,450.99

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Solution

The fourth proportional to 9,805.34, 13,522.05 and 6,450.99 is: 8,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.34 : 13,522.05 = 6,450.99 : x
  2. Step 2: Convert to fraction form
    9,805.34/13,522.05 = 6,450.99/x
  3. Step 3: Cross multiply
    9,805.34x = 13,522.05 × 6,450.99
  4. Step 4: Simplify right side
    9,805.34x = 87,230,609.33
  5. Step 5: Solve for x
    x = 87,230,609.33/9,805.34
  6. Step 6: Final answer
    x = 8,896.24

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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.