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Finding the Fourth Proportional to 9,197.36, 12,692.38 and 5,218.46

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Solution

The fourth proportional to 9,197.36, 12,692.38 and 5,218.46 is: 7,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.36 : 12,692.38 = 5,218.46 : x
  2. Step 2: Convert to fraction form
    9,197.36/12,692.38 = 5,218.46/x
  3. Step 3: Cross multiply
    9,197.36x = 12,692.38 × 5,218.46
  4. Step 4: Simplify right side
    9,197.36x = 66,234,733.77
  5. Step 5: Solve for x
    x = 66,234,733.77/9,197.36
  6. Step 6: Final answer
    x = 7,201.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.