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Finding the Fourth Proportional to 6,468.22, 9,703.26 and 2,084.22

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Solution

The fourth proportional to 6,468.22, 9,703.26 and 2,084.22 is: 3,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.22 : 9,703.26 = 2,084.22 : x
  2. Step 2: Convert to fraction form
    6,468.22/9,703.26 = 2,084.22/x
  3. Step 3: Cross multiply
    6,468.22x = 9,703.26 × 2,084.22
  4. Step 4: Simplify right side
    6,468.22x = 20,223,728.56
  5. Step 5: Solve for x
    x = 20,223,728.56/6,468.22
  6. Step 6: Final answer
    x = 3,126.63

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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.