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Finding the Fourth Proportional to 6,216.16, 9,321.76 and 2,318.44

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Solution

The fourth proportional to 6,216.16, 9,321.76 and 2,318.44 is: 3,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.16 : 9,321.76 = 2,318.44 : x
  2. Step 2: Convert to fraction form
    6,216.16/9,321.76 = 2,318.44/x
  3. Step 3: Cross multiply
    6,216.16x = 9,321.76 × 2,318.44
  4. Step 4: Simplify right side
    6,216.16x = 21,611,941.25
  5. Step 5: Solve for x
    x = 21,611,941.25/6,216.16
  6. Step 6: Final answer
    x = 3,476.74

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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.