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Finding the Fourth Proportional to 9,771.44, 14,658.40 and 3,195.86

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Solution

The fourth proportional to 9,771.44, 14,658.40 and 3,195.86 is: 4,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.44 : 14,658.40 = 3,195.86 : x
  2. Step 2: Convert to fraction form
    9,771.44/14,658.40 = 3,195.86/x
  3. Step 3: Cross multiply
    9,771.44x = 14,658.40 × 3,195.86
  4. Step 4: Simplify right side
    9,771.44x = 46,846,194.22
  5. Step 5: Solve for x
    x = 46,846,194.22/9,771.44
  6. Step 6: Final answer
    x = 4,794.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.