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Finding the Fourth Proportional to 9,996.42, 13,792.29 and 5,747.25

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Solution

The fourth proportional to 9,996.42, 13,792.29 and 5,747.25 is: 7,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.42 : 13,792.29 = 5,747.25 : x
  2. Step 2: Convert to fraction form
    9,996.42/13,792.29 = 5,747.25/x
  3. Step 3: Cross multiply
    9,996.42x = 13,792.29 × 5,747.25
  4. Step 4: Simplify right side
    9,996.42x = 79,267,738.70
  5. Step 5: Solve for x
    x = 79,267,738.70/9,996.42
  6. Step 6: Final answer
    x = 7,929.61

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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.