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Finding the Fourth Proportional to 9,728.22, 14,573.87 and 5,771.11

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Solution

The fourth proportional to 9,728.22, 14,573.87 and 5,771.11 is: 8,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.22 : 14,573.87 = 5,771.11 : x
  2. Step 2: Convert to fraction form
    9,728.22/14,573.87 = 5,771.11/x
  3. Step 3: Cross multiply
    9,728.22x = 14,573.87 × 5,771.11
  4. Step 4: Simplify right side
    9,728.22x = 84,107,434.40
  5. Step 5: Solve for x
    x = 84,107,434.40/9,728.22
  6. Step 6: Final answer
    x = 8,645.72

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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.