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Finding the Fourth Proportional to 6,216.75, 9,326.21 and 3,138.75

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Solution

The fourth proportional to 6,216.75, 9,326.21 and 3,138.75 is: 4,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.75 : 9,326.21 = 3,138.75 : x
  2. Step 2: Convert to fraction form
    6,216.75/9,326.21 = 3,138.75/x
  3. Step 3: Cross multiply
    6,216.75x = 9,326.21 × 3,138.75
  4. Step 4: Simplify right side
    6,216.75x = 29,272,625.94
  5. Step 5: Solve for x
    x = 29,272,625.94/6,216.75
  6. Step 6: Final answer
    x = 4,708.67

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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.