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Finding the Fourth Proportional to 6,222.96, 9,324.36 and 4,143.60

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Solution

The fourth proportional to 6,222.96, 9,324.36 and 4,143.60 is: 6,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.96 : 9,324.36 = 4,143.60 : x
  2. Step 2: Convert to fraction form
    6,222.96/9,324.36 = 4,143.60/x
  3. Step 3: Cross multiply
    6,222.96x = 9,324.36 × 4,143.60
  4. Step 4: Simplify right side
    6,222.96x = 38,636,418.10
  5. Step 5: Solve for x
    x = 38,636,418.10/6,222.96
  6. Step 6: Final answer
    x = 6,208.69

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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.