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Finding the Fourth Proportional to 9,196.98, 12,692.46 and 5,218.12

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Solution

The fourth proportional to 9,196.98, 12,692.46 and 5,218.12 is: 7,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.98 : 12,692.46 = 5,218.12 : x
  2. Step 2: Convert to fraction form
    9,196.98/12,692.46 = 5,218.12/x
  3. Step 3: Cross multiply
    9,196.98x = 12,692.46 × 5,218.12
  4. Step 4: Simplify right side
    9,196.98x = 66,230,779.38
  5. Step 5: Solve for x
    x = 66,230,779.38/9,196.98
  6. Step 6: Final answer
    x = 7,201.36

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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.