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Finding the Fourth Proportional to 6,354.43, 9,525.96 and 3,232.69

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Solution

The fourth proportional to 6,354.43, 9,525.96 and 3,232.69 is: 4,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.43 : 9,525.96 = 3,232.69 : x
  2. Step 2: Convert to fraction form
    6,354.43/9,525.96 = 3,232.69/x
  3. Step 3: Cross multiply
    6,354.43x = 9,525.96 × 3,232.69
  4. Step 4: Simplify right side
    6,354.43x = 30,794,459.47
  5. Step 5: Solve for x
    x = 30,794,459.47/6,354.43
  6. Step 6: Final answer
    x = 4,846.14

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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.