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Finding the Fourth Proportional to 9,629.26, 13,288.42 and 5,213.26

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Solution

The fourth proportional to 9,629.26, 13,288.42 and 5,213.26 is: 7,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.26 : 13,288.42 = 5,213.26 : x
  2. Step 2: Convert to fraction form
    9,629.26/13,288.42 = 5,213.26/x
  3. Step 3: Cross multiply
    9,629.26x = 13,288.42 × 5,213.26
  4. Step 4: Simplify right side
    9,629.26x = 69,275,988.45
  5. Step 5: Solve for x
    x = 69,275,988.45/9,629.26
  6. Step 6: Final answer
    x = 7,194.32

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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.