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Finding the Fourth Proportional to 9,741.97, 14,604.20 and 3,500.52

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Solution

The fourth proportional to 9,741.97, 14,604.20 and 3,500.52 is: 5,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.97 : 14,604.20 = 3,500.52 : x
  2. Step 2: Convert to fraction form
    9,741.97/14,604.20 = 3,500.52/x
  3. Step 3: Cross multiply
    9,741.97x = 14,604.20 × 3,500.52
  4. Step 4: Simplify right side
    9,741.97x = 51,122,235.04
  5. Step 5: Solve for x
    x = 51,122,235.04/9,741.97
  6. Step 6: Final answer
    x = 5,247.63

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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.