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Finding the Fourth Proportional to 9,191.42, 12,660.53 and 7,198.41

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Solution

The fourth proportional to 9,191.42, 12,660.53 and 7,198.41 is: 9,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.42 : 12,660.53 = 7,198.41 : x
  2. Step 2: Convert to fraction form
    9,191.42/12,660.53 = 7,198.41/x
  3. Step 3: Cross multiply
    9,191.42x = 12,660.53 × 7,198.41
  4. Step 4: Simplify right side
    9,191.42x = 91,135,649.77
  5. Step 5: Solve for x
    x = 91,135,649.77/9,191.42
  6. Step 6: Final answer
    x = 9,915.30

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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.