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Finding the Fourth Proportional to 9,765.57, 14,651.49 and 3,525.54

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Solution

The fourth proportional to 9,765.57, 14,651.49 and 3,525.54 is: 5,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.57 : 14,651.49 = 3,525.54 : x
  2. Step 2: Convert to fraction form
    9,765.57/14,651.49 = 3,525.54/x
  3. Step 3: Cross multiply
    9,765.57x = 14,651.49 × 3,525.54
  4. Step 4: Simplify right side
    9,765.57x = 51,654,414.05
  5. Step 5: Solve for x
    x = 51,654,414.05/9,765.57
  6. Step 6: Final answer
    x = 5,289.44

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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.