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Finding the Fourth Proportional to 9,443.03, 14,163.01 and 2,777.97

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Solution

The fourth proportional to 9,443.03, 14,163.01 and 2,777.97 is: 4,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.03 : 14,163.01 = 2,777.97 : x
  2. Step 2: Convert to fraction form
    9,443.03/14,163.01 = 2,777.97/x
  3. Step 3: Cross multiply
    9,443.03x = 14,163.01 × 2,777.97
  4. Step 4: Simplify right side
    9,443.03x = 39,344,431.12
  5. Step 5: Solve for x
    x = 39,344,431.12/9,443.03
  6. Step 6: Final answer
    x = 4,166.50

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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.