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Finding the Fourth Proportional to 9,771.24, 14,659.11 and 3,197.28

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Solution

The fourth proportional to 9,771.24, 14,659.11 and 3,197.28 is: 4,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.24 : 14,659.11 = 3,197.28 : x
  2. Step 2: Convert to fraction form
    9,771.24/14,659.11 = 3,197.28/x
  3. Step 3: Cross multiply
    9,771.24x = 14,659.11 × 3,197.28
  4. Step 4: Simplify right side
    9,771.24x = 46,869,279.22
  5. Step 5: Solve for x
    x = 46,869,279.22/9,771.24
  6. Step 6: Final answer
    x = 4,796.66

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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.