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Finding the Fourth Proportional to 6,768.08, 9,336.84 and 3,971.60

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Solution

The fourth proportional to 6,768.08, 9,336.84 and 3,971.60 is: 5,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.08 : 9,336.84 = 3,971.60 : x
  2. Step 2: Convert to fraction form
    6,768.08/9,336.84 = 3,971.60/x
  3. Step 3: Cross multiply
    6,768.08x = 9,336.84 × 3,971.60
  4. Step 4: Simplify right side
    6,768.08x = 37,082,193.74
  5. Step 5: Solve for x
    x = 37,082,193.74/6,768.08
  6. Step 6: Final answer
    x = 5,478.98

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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.