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Finding the Fourth Proportional to 10,122.16, 13,940.76 and 9,344.56

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Solution

The fourth proportional to 10,122.16, 13,940.76 and 9,344.56 is: 12,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.16 : 13,940.76 = 9,344.56 : x
  2. Step 2: Convert to fraction form
    10,122.16/13,940.76 = 9,344.56/x
  3. Step 3: Cross multiply
    10,122.16x = 13,940.76 × 9,344.56
  4. Step 4: Simplify right side
    10,122.16x = 130,270,268.27
  5. Step 5: Solve for x
    x = 130,270,268.27/10,122.16
  6. Step 6: Final answer
    x = 12,869.81

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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.