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Finding the Fourth Proportional to 9,754.22, 14,629.77 and 2,733.50

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Solution

The fourth proportional to 9,754.22, 14,629.77 and 2,733.50 is: 4,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.22 : 14,629.77 = 2,733.50 : x
  2. Step 2: Convert to fraction form
    9,754.22/14,629.77 = 2,733.50/x
  3. Step 3: Cross multiply
    9,754.22x = 14,629.77 × 2,733.50
  4. Step 4: Simplify right side
    9,754.22x = 39,990,403.15
  5. Step 5: Solve for x
    x = 39,990,403.15/9,754.22
  6. Step 6: Final answer
    x = 4,099.81

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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.