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Finding the Fourth Proportional to 9,806.19, 13,537.49 and 7,563.09

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Solution

The fourth proportional to 9,806.19, 13,537.49 and 7,563.09 is: 10,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.19 : 13,537.49 = 7,563.09 : x
  2. Step 2: Convert to fraction form
    9,806.19/13,537.49 = 7,563.09/x
  3. Step 3: Cross multiply
    9,806.19x = 13,537.49 × 7,563.09
  4. Step 4: Simplify right side
    9,806.19x = 102,385,255.24
  5. Step 5: Solve for x
    x = 102,385,255.24/9,806.19
  6. Step 6: Final answer
    x = 10,440.88

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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.