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Finding the Fourth Proportional to 9,914.97, 13,683.42 and 5,724.03

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Solution

The fourth proportional to 9,914.97, 13,683.42 and 5,724.03 is: 7,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.97 : 13,683.42 = 5,724.03 : x
  2. Step 2: Convert to fraction form
    9,914.97/13,683.42 = 5,724.03/x
  3. Step 3: Cross multiply
    9,914.97x = 13,683.42 × 5,724.03
  4. Step 4: Simplify right side
    9,914.97x = 78,324,306.58
  5. Step 5: Solve for x
    x = 78,324,306.58/9,914.97
  6. Step 6: Final answer
    x = 7,899.60

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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.