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Finding the Fourth Proportional to 6,213.56, 9,321.96 and 2,318

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Solution

The fourth proportional to 6,213.56, 9,321.96 and 2,318 is: 3,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.56 : 9,321.96 = 2,318 : x
  2. Step 2: Convert to fraction form
    6,213.56/9,321.96 = 2,318/x
  3. Step 3: Cross multiply
    6,213.56x = 9,321.96 × 2,318
  4. Step 4: Simplify right side
    6,213.56x = 21,608,303.28
  5. Step 5: Solve for x
    x = 21,608,303.28/6,213.56
  6. Step 6: Final answer
    x = 3,477.60

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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.