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Finding the Fourth Proportional to 7,144.28, 9,857.93 and 4,489.81

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Solution

The fourth proportional to 7,144.28, 9,857.93 and 4,489.81 is: 6,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.28 : 9,857.93 = 4,489.81 : x
  2. Step 2: Convert to fraction form
    7,144.28/9,857.93 = 4,489.81/x
  3. Step 3: Cross multiply
    7,144.28x = 9,857.93 × 4,489.81
  4. Step 4: Simplify right side
    7,144.28x = 44,260,232.69
  5. Step 5: Solve for x
    x = 44,260,232.69/7,144.28
  6. Step 6: Final answer
    x = 6,195.20

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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.