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Finding the Fourth Proportional to 6,539.30, 9,024.27 and 3,850.64

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Solution

The fourth proportional to 6,539.30, 9,024.27 and 3,850.64 is: 5,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.30 : 9,024.27 = 3,850.64 : x
  2. Step 2: Convert to fraction form
    6,539.30/9,024.27 = 3,850.64/x
  3. Step 3: Cross multiply
    6,539.30x = 9,024.27 × 3,850.64
  4. Step 4: Simplify right side
    6,539.30x = 34,749,169.91
  5. Step 5: Solve for x
    x = 34,749,169.91/6,539.30
  6. Step 6: Final answer
    x = 5,313.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.