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Finding the Fourth Proportional to 7,133.14, 9,844.05 and 3,989.33

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Solution

The fourth proportional to 7,133.14, 9,844.05 and 3,989.33 is: 5,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.14 : 9,844.05 = 3,989.33 : x
  2. Step 2: Convert to fraction form
    7,133.14/9,844.05 = 3,989.33/x
  3. Step 3: Cross multiply
    7,133.14x = 9,844.05 × 3,989.33
  4. Step 4: Simplify right side
    7,133.14x = 39,271,163.99
  5. Step 5: Solve for x
    x = 39,271,163.99/7,133.14
  6. Step 6: Final answer
    x = 5,505.45

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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.