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Finding the Fourth Proportional to 9,197.26, 13,802.82 and 6,738.38

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Solution

The fourth proportional to 9,197.26, 13,802.82 and 6,738.38 is: 10,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.26 : 13,802.82 = 6,738.38 : x
  2. Step 2: Convert to fraction form
    9,197.26/13,802.82 = 6,738.38/x
  3. Step 3: Cross multiply
    9,197.26x = 13,802.82 × 6,738.38
  4. Step 4: Simplify right side
    9,197.26x = 93,008,646.23
  5. Step 5: Solve for x
    x = 93,008,646.23/9,197.26
  6. Step 6: Final answer
    x = 10,112.65

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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.