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Finding the Fourth Proportional to 6,222.67, 9,334.19 and 1,605.67

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Solution

The fourth proportional to 6,222.67, 9,334.19 and 1,605.67 is: 2,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.67 : 9,334.19 = 1,605.67 : x
  2. Step 2: Convert to fraction form
    6,222.67/9,334.19 = 1,605.67/x
  3. Step 3: Cross multiply
    6,222.67x = 9,334.19 × 1,605.67
  4. Step 4: Simplify right side
    6,222.67x = 14,987,628.86
  5. Step 5: Solve for x
    x = 14,987,628.86/6,222.67
  6. Step 6: Final answer
    x = 2,408.55

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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.