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Finding the Fourth Proportional to 8,645.34, 12,969.20 and 3,100.22

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Solution

The fourth proportional to 8,645.34, 12,969.20 and 3,100.22 is: 4,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.34 : 12,969.20 = 3,100.22 : x
  2. Step 2: Convert to fraction form
    8,645.34/12,969.20 = 3,100.22/x
  3. Step 3: Cross multiply
    8,645.34x = 12,969.20 × 3,100.22
  4. Step 4: Simplify right side
    8,645.34x = 40,207,373.22
  5. Step 5: Solve for x
    x = 40,207,373.22/8,645.34
  6. Step 6: Final answer
    x = 4,650.76

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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.