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Finding the Fourth Proportional to 9,196.56, 12,676.50 and 6,211.44

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Solution

The fourth proportional to 9,196.56, 12,676.50 and 6,211.44 is: 8,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.56 : 12,676.50 = 6,211.44 : x
  2. Step 2: Convert to fraction form
    9,196.56/12,676.50 = 6,211.44/x
  3. Step 3: Cross multiply
    9,196.56x = 12,676.50 × 6,211.44
  4. Step 4: Simplify right side
    9,196.56x = 78,739,319.16
  5. Step 5: Solve for x
    x = 78,739,319.16/9,196.56
  6. Step 6: Final answer
    x = 8,561.82

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