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Finding the Fourth Proportional to 9,410.31, 14,112.09 and 2,834.46

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Solution

The fourth proportional to 9,410.31, 14,112.09 and 2,834.46 is: 4,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.31 : 14,112.09 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    9,410.31/14,112.09 = 2,834.46/x
  3. Step 3: Cross multiply
    9,410.31x = 14,112.09 × 2,834.46
  4. Step 4: Simplify right side
    9,410.31x = 40,000,154.62
  5. Step 5: Solve for x
    x = 40,000,154.62/9,410.31
  6. Step 6: Final answer
    x = 4,250.67

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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.