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Finding the Fourth Proportional to 9,222.70, 13,834.02 and 3,376.12

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Solution

The fourth proportional to 9,222.70, 13,834.02 and 3,376.12 is: 5,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.70 : 13,834.02 = 3,376.12 : x
  2. Step 2: Convert to fraction form
    9,222.70/13,834.02 = 3,376.12/x
  3. Step 3: Cross multiply
    9,222.70x = 13,834.02 × 3,376.12
  4. Step 4: Simplify right side
    9,222.70x = 46,705,311.60
  5. Step 5: Solve for x
    x = 46,705,311.60/9,222.70
  6. Step 6: Final answer
    x = 5,064.17

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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.