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Finding the Fourth Proportional to 9,635.26, 13,296.66 and 5,219.26

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Solution

The fourth proportional to 9,635.26, 13,296.66 and 5,219.26 is: 7,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.26 : 13,296.66 = 5,219.26 : x
  2. Step 2: Convert to fraction form
    9,635.26/13,296.66 = 5,219.26/x
  3. Step 3: Cross multiply
    9,635.26x = 13,296.66 × 5,219.26
  4. Step 4: Simplify right side
    9,635.26x = 69,398,725.67
  5. Step 5: Solve for x
    x = 69,398,725.67/9,635.26
  6. Step 6: Final answer
    x = 7,202.58

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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.