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Finding the Fourth Proportional to 7,132.84, 9,843.04 and 3,989.63

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Solution

The fourth proportional to 7,132.84, 9,843.04 and 3,989.63 is: 5,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.84 : 9,843.04 = 3,989.63 : x
  2. Step 2: Convert to fraction form
    7,132.84/9,843.04 = 3,989.63/x
  3. Step 3: Cross multiply
    7,132.84x = 9,843.04 × 3,989.63
  4. Step 4: Simplify right side
    7,132.84x = 39,270,087.68
  5. Step 5: Solve for x
    x = 39,270,087.68/7,132.84
  6. Step 6: Final answer
    x = 5,505.53

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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.