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Finding the Fourth Proportional to 9,940.25, 13,717.10 and 5,463.72

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Solution

The fourth proportional to 9,940.25, 13,717.10 and 5,463.72 is: 7,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.25 : 13,717.10 = 5,463.72 : x
  2. Step 2: Convert to fraction form
    9,940.25/13,717.10 = 5,463.72/x
  3. Step 3: Cross multiply
    9,940.25x = 13,717.10 × 5,463.72
  4. Step 4: Simplify right side
    9,940.25x = 74,946,407.27
  5. Step 5: Solve for x
    x = 74,946,407.27/9,940.25
  6. Step 6: Final answer
    x = 7,539.69

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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.