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Finding the Fourth Proportional to 9,524.60, 13,137.21 and 8,196.02

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Solution

The fourth proportional to 9,524.60, 13,137.21 and 8,196.02 is: 11,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.60 : 13,137.21 = 8,196.02 : x
  2. Step 2: Convert to fraction form
    9,524.60/13,137.21 = 8,196.02/x
  3. Step 3: Cross multiply
    9,524.60x = 13,137.21 × 8,196.02
  4. Step 4: Simplify right side
    9,524.60x = 107,672,770.22
  5. Step 5: Solve for x
    x = 107,672,770.22/9,524.60
  6. Step 6: Final answer
    x = 11,304.71

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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.