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Finding the Fourth Proportional to 9,627.12, 13,198.77 and 9,452.16

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Solution

The fourth proportional to 9,627.12, 13,198.77 and 9,452.16 is: 12,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.12 : 13,198.77 = 9,452.16 : x
  2. Step 2: Convert to fraction form
    9,627.12/13,198.77 = 9,452.16/x
  3. Step 3: Cross multiply
    9,627.12x = 13,198.77 × 9,452.16
  4. Step 4: Simplify right side
    9,627.12x = 124,756,885.84
  5. Step 5: Solve for x
    x = 124,756,885.84/9,627.12
  6. Step 6: Final answer
    x = 12,958.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.