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Finding the Fourth Proportional to 9,996.69, 13,792.15 and 6,016.35

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Solution

The fourth proportional to 9,996.69, 13,792.15 and 6,016.35 is: 8,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.69 : 13,792.15 = 6,016.35 : x
  2. Step 2: Convert to fraction form
    9,996.69/13,792.15 = 6,016.35/x
  3. Step 3: Cross multiply
    9,996.69x = 13,792.15 × 6,016.35
  4. Step 4: Simplify right side
    9,996.69x = 82,978,401.65
  5. Step 5: Solve for x
    x = 82,978,401.65/9,996.69
  6. Step 6: Final answer
    x = 8,300.59

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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.