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Finding the Fourth Proportional to 6,539.38, 9,813.38 and 3,076.90

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Solution

The fourth proportional to 6,539.38, 9,813.38 and 3,076.90 is: 4,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.38 : 9,813.38 = 3,076.90 : x
  2. Step 2: Convert to fraction form
    6,539.38/9,813.38 = 3,076.90/x
  3. Step 3: Cross multiply
    6,539.38x = 9,813.38 × 3,076.90
  4. Step 4: Simplify right side
    6,539.38x = 30,194,788.92
  5. Step 5: Solve for x
    x = 30,194,788.92/6,539.38
  6. Step 6: Final answer
    x = 4,617.38

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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.