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Finding the Fourth Proportional to 9,997.19, 13,792.84 and 6,016.85

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Solution

The fourth proportional to 9,997.19, 13,792.84 and 6,016.85 is: 8,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.19 : 13,792.84 = 6,016.85 : x
  2. Step 2: Convert to fraction form
    9,997.19/13,792.84 = 6,016.85/x
  3. Step 3: Cross multiply
    9,997.19x = 13,792.84 × 6,016.85
  4. Step 4: Simplify right side
    9,997.19x = 82,989,365.35
  5. Step 5: Solve for x
    x = 82,989,365.35/9,997.19
  6. Step 6: Final answer
    x = 8,301.27

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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.