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Finding the Fourth Proportional to 9,041, 13,561.74 and 2,885

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Solution

The fourth proportional to 9,041, 13,561.74 and 2,885 is: 4,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041 : 13,561.74 = 2,885 : x
  2. Step 2: Convert to fraction form
    9,041/13,561.74 = 2,885/x
  3. Step 3: Cross multiply
    9,041x = 13,561.74 × 2,885
  4. Step 4: Simplify right side
    9,041x = 39,125,619.90
  5. Step 5: Solve for x
    x = 39,125,619.90/9,041
  6. Step 6: Final answer
    x = 4,327.58

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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.