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Finding the Fourth Proportional to 6,359.81, 9,539.10 and 3,893.36

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Solution

The fourth proportional to 6,359.81, 9,539.10 and 3,893.36 is: 5,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.81 : 9,539.10 = 3,893.36 : x
  2. Step 2: Convert to fraction form
    6,359.81/9,539.10 = 3,893.36/x
  3. Step 3: Cross multiply
    6,359.81x = 9,539.10 × 3,893.36
  4. Step 4: Simplify right side
    6,359.81x = 37,139,102.68
  5. Step 5: Solve for x
    x = 37,139,102.68/6,359.81
  6. Step 6: Final answer
    x = 5,839.66

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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.