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Finding the Fourth Proportional to 6,329.28, 9,493.38 and 3,859.32

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Solution

The fourth proportional to 6,329.28, 9,493.38 and 3,859.32 is: 5,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.28 : 9,493.38 = 3,859.32 : x
  2. Step 2: Convert to fraction form
    6,329.28/9,493.38 = 3,859.32/x
  3. Step 3: Cross multiply
    6,329.28x = 9,493.38 × 3,859.32
  4. Step 4: Simplify right side
    6,329.28x = 36,637,991.30
  5. Step 5: Solve for x
    x = 36,637,991.30/6,329.28
  6. Step 6: Final answer
    x = 5,788.65

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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.