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Finding the Fourth Proportional to 9,940.78, 13,718.62 and 5,464.94

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Solution

The fourth proportional to 9,940.78, 13,718.62 and 5,464.94 is: 7,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.78 : 13,718.62 = 5,464.94 : x
  2. Step 2: Convert to fraction form
    9,940.78/13,718.62 = 5,464.94/x
  3. Step 3: Cross multiply
    9,940.78x = 13,718.62 × 5,464.94
  4. Step 4: Simplify right side
    9,940.78x = 74,971,342.68
  5. Step 5: Solve for x
    x = 74,971,342.68/9,940.78
  6. Step 6: Final answer
    x = 7,541.80

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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.