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Finding the Fourth Proportional to 9,940.68, 13,718.04 and 5,464.50

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Solution

The fourth proportional to 9,940.68, 13,718.04 and 5,464.50 is: 7,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.68 : 13,718.04 = 5,464.50 : x
  2. Step 2: Convert to fraction form
    9,940.68/13,718.04 = 5,464.50/x
  3. Step 3: Cross multiply
    9,940.68x = 13,718.04 × 5,464.50
  4. Step 4: Simplify right side
    9,940.68x = 74,962,229.58
  5. Step 5: Solve for x
    x = 74,962,229.58/9,940.68
  6. Step 6: Final answer
    x = 7,540.96

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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.