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Finding the Fourth Proportional to 9,940.68, 13,717.62 and 5,465.03

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Solution

The fourth proportional to 9,940.68, 13,717.62 and 5,465.03 is: 7,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.68 : 13,717.62 = 5,465.03 : x
  2. Step 2: Convert to fraction form
    9,940.68/13,717.62 = 5,465.03/x
  3. Step 3: Cross multiply
    9,940.68x = 13,717.62 × 5,465.03
  4. Step 4: Simplify right side
    9,940.68x = 74,967,136.24
  5. Step 5: Solve for x
    x = 74,967,136.24/9,940.68
  6. Step 6: Final answer
    x = 7,541.45

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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.