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Finding the Fourth Proportional to 6,797.85, 9,381.32 and 3,813.60

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Solution

The fourth proportional to 6,797.85, 9,381.32 and 3,813.60 is: 5,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.85 : 9,381.32 = 3,813.60 : x
  2. Step 2: Convert to fraction form
    6,797.85/9,381.32 = 3,813.60/x
  3. Step 3: Cross multiply
    6,797.85x = 9,381.32 × 3,813.60
  4. Step 4: Simplify right side
    6,797.85x = 35,776,601.95
  5. Step 5: Solve for x
    x = 35,776,601.95/6,797.85
  6. Step 6: Final answer
    x = 5,262.93

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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.