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Finding the Fourth Proportional to 9,039.76, 13,561.70 and 3,493.12

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Solution

The fourth proportional to 9,039.76, 13,561.70 and 3,493.12 is: 5,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.76 : 13,561.70 = 3,493.12 : x
  2. Step 2: Convert to fraction form
    9,039.76/13,561.70 = 3,493.12/x
  3. Step 3: Cross multiply
    9,039.76x = 13,561.70 × 3,493.12
  4. Step 4: Simplify right side
    9,039.76x = 47,372,645.50
  5. Step 5: Solve for x
    x = 47,372,645.50/9,039.76
  6. Step 6: Final answer
    x = 5,240.48

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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.