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Finding the Fourth Proportional to 9,622, 14,433.42 and 3,048.67

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Solution

The fourth proportional to 9,622, 14,433.42 and 3,048.67 is: 4,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622 : 14,433.42 = 3,048.67 : x
  2. Step 2: Convert to fraction form
    9,622/14,433.42 = 3,048.67/x
  3. Step 3: Cross multiply
    9,622x = 14,433.42 × 3,048.67
  4. Step 4: Simplify right side
    9,622x = 44,002,734.55
  5. Step 5: Solve for x
    x = 44,002,734.55/9,622
  6. Step 6: Final answer
    x = 4,573.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.