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Finding the Fourth Proportional to 6,486.75, 9,729.21 and 3,704.40

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Solution

The fourth proportional to 6,486.75, 9,729.21 and 3,704.40 is: 5,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.75 : 9,729.21 = 3,704.40 : x
  2. Step 2: Convert to fraction form
    6,486.75/9,729.21 = 3,704.40/x
  3. Step 3: Cross multiply
    6,486.75x = 9,729.21 × 3,704.40
  4. Step 4: Simplify right side
    6,486.75x = 36,040,885.52
  5. Step 5: Solve for x
    x = 36,040,885.52/6,486.75
  6. Step 6: Final answer
    x = 5,556.08

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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.