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Finding the Fourth Proportional to 9,538, 14,302.14 and 3,989.84

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Solution

The fourth proportional to 9,538, 14,302.14 and 3,989.84 is: 5,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538 : 14,302.14 = 3,989.84 : x
  2. Step 2: Convert to fraction form
    9,538/14,302.14 = 3,989.84/x
  3. Step 3: Cross multiply
    9,538x = 14,302.14 × 3,989.84
  4. Step 4: Simplify right side
    9,538x = 57,063,250.26
  5. Step 5: Solve for x
    x = 57,063,250.26/9,538
  6. Step 6: Final answer
    x = 5,982.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.