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Finding the Fourth Proportional to 9,766.12, 14,644.32 and 3,191.44

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Solution

The fourth proportional to 9,766.12, 14,644.32 and 3,191.44 is: 4,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.12 : 14,644.32 = 3,191.44 : x
  2. Step 2: Convert to fraction form
    9,766.12/14,644.32 = 3,191.44/x
  3. Step 3: Cross multiply
    9,766.12x = 14,644.32 × 3,191.44
  4. Step 4: Simplify right side
    9,766.12x = 46,736,468.62
  5. Step 5: Solve for x
    x = 46,736,468.62/9,766.12
  6. Step 6: Final answer
    x = 4,785.57

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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.