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Finding the Fourth Proportional to 9,633.80, 14,452.32 and 3,059.48

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Solution

The fourth proportional to 9,633.80, 14,452.32 and 3,059.48 is: 4,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.80 : 14,452.32 = 3,059.48 : x
  2. Step 2: Convert to fraction form
    9,633.80/14,452.32 = 3,059.48/x
  3. Step 3: Cross multiply
    9,633.80x = 14,452.32 × 3,059.48
  4. Step 4: Simplify right side
    9,633.80x = 44,216,583.99
  5. Step 5: Solve for x
    x = 44,216,583.99/9,633.80
  6. Step 6: Final answer
    x = 4,589.73

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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.