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Finding the Fourth Proportional to 9,997.56, 13,792.28 and 6,016.41

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Solution

The fourth proportional to 9,997.56, 13,792.28 and 6,016.41 is: 8,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.56 : 13,792.28 = 6,016.41 : x
  2. Step 2: Convert to fraction form
    9,997.56/13,792.28 = 6,016.41/x
  3. Step 3: Cross multiply
    9,997.56x = 13,792.28 × 6,016.41
  4. Step 4: Simplify right side
    9,997.56x = 82,979,981.23
  5. Step 5: Solve for x
    x = 82,979,981.23/9,997.56
  6. Step 6: Final answer
    x = 8,300.02

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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.