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Finding the Fourth Proportional to 9,940.44, 13,717.86 and 5,464.04

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Solution

The fourth proportional to 9,940.44, 13,717.86 and 5,464.04 is: 7,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.44 : 13,717.86 = 5,464.04 : x
  2. Step 2: Convert to fraction form
    9,940.44/13,717.86 = 5,464.04/x
  3. Step 3: Cross multiply
    9,940.44x = 13,717.86 × 5,464.04
  4. Step 4: Simplify right side
    9,940.44x = 74,954,935.75
  5. Step 5: Solve for x
    x = 74,954,935.75/9,940.44
  6. Step 6: Final answer
    x = 7,540.40

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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.