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Finding the Fourth Proportional to 9,796.89, 14,696.37 and 3,223.08

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Solution

The fourth proportional to 9,796.89, 14,696.37 and 3,223.08 is: 4,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.89 : 14,696.37 = 3,223.08 : x
  2. Step 2: Convert to fraction form
    9,796.89/14,696.37 = 3,223.08/x
  3. Step 3: Cross multiply
    9,796.89x = 14,696.37 × 3,223.08
  4. Step 4: Simplify right side
    9,796.89x = 47,367,576.22
  5. Step 5: Solve for x
    x = 47,367,576.22/9,796.89
  6. Step 6: Final answer
    x = 4,834.96

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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.