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Finding the Fourth Proportional to 6,367.86, 9,539.01 and 3,039.33

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Solution

The fourth proportional to 6,367.86, 9,539.01 and 3,039.33 is: 4,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.86 : 9,539.01 = 3,039.33 : x
  2. Step 2: Convert to fraction form
    6,367.86/9,539.01 = 3,039.33/x
  3. Step 3: Cross multiply
    6,367.86x = 9,539.01 × 3,039.33
  4. Step 4: Simplify right side
    6,367.86x = 28,992,199.26
  5. Step 5: Solve for x
    x = 28,992,199.26/6,367.86
  6. Step 6: Final answer
    x = 4,552.90

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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.