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Finding the Fourth Proportional to 9,736.26, 13,422.04 and 6,936.90

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Solution

The fourth proportional to 9,736.26, 13,422.04 and 6,936.90 is: 9,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.26 : 13,422.04 = 6,936.90 : x
  2. Step 2: Convert to fraction form
    9,736.26/13,422.04 = 6,936.90/x
  3. Step 3: Cross multiply
    9,736.26x = 13,422.04 × 6,936.90
  4. Step 4: Simplify right side
    9,736.26x = 93,107,349.28
  5. Step 5: Solve for x
    x = 93,107,349.28/9,736.26
  6. Step 6: Final answer
    x = 9,562.95

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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.