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Finding the Fourth Proportional to 8,838.27, 12,194.33 and 5,696.28

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Solution

The fourth proportional to 8,838.27, 12,194.33 and 5,696.28 is: 7,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.27 : 12,194.33 = 5,696.28 : x
  2. Step 2: Convert to fraction form
    8,838.27/12,194.33 = 5,696.28/x
  3. Step 3: Cross multiply
    8,838.27x = 12,194.33 × 5,696.28
  4. Step 4: Simplify right side
    8,838.27x = 69,462,289.61
  5. Step 5: Solve for x
    x = 69,462,289.61/8,838.27
  6. Step 6: Final answer
    x = 7,859.26

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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.