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Finding the Fourth Proportional to 6,222.92, 9,334.62 and 1,605.92

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Solution

The fourth proportional to 6,222.92, 9,334.62 and 1,605.92 is: 2,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.92 : 9,334.62 = 1,605.92 : x
  2. Step 2: Convert to fraction form
    6,222.92/9,334.62 = 1,605.92/x
  3. Step 3: Cross multiply
    6,222.92x = 9,334.62 × 1,605.92
  4. Step 4: Simplify right side
    6,222.92x = 14,990,652.95
  5. Step 5: Solve for x
    x = 14,990,652.95/6,222.92
  6. Step 6: Final answer
    x = 2,408.94

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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.