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Finding the Fourth Proportional to 9,136.26, 13,728.30 and 7,969.17

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Solution

The fourth proportional to 9,136.26, 13,728.30 and 7,969.17 is: 11,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.26 : 13,728.30 = 7,969.17 : x
  2. Step 2: Convert to fraction form
    9,136.26/13,728.30 = 7,969.17/x
  3. Step 3: Cross multiply
    9,136.26x = 13,728.30 × 7,969.17
  4. Step 4: Simplify right side
    9,136.26x = 109,403,156.51
  5. Step 5: Solve for x
    x = 109,403,156.51/9,136.26
  6. Step 6: Final answer
    x = 11,974.61

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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.