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Finding the Fourth Proportional to 6,778.24, 9,336 and 5,895.04

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Solution

The fourth proportional to 6,778.24, 9,336 and 5,895.04 is: 8,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.24 : 9,336 = 5,895.04 : x
  2. Step 2: Convert to fraction form
    6,778.24/9,336 = 5,895.04/x
  3. Step 3: Cross multiply
    6,778.24x = 9,336 × 5,895.04
  4. Step 4: Simplify right side
    6,778.24x = 55,036,093.44
  5. Step 5: Solve for x
    x = 55,036,093.44/6,778.24
  6. Step 6: Final answer
    x = 8,119.53

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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.