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Finding the Fourth Proportional to 9,843.41, 14,761.90 and 3,267.83

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Solution

The fourth proportional to 9,843.41, 14,761.90 and 3,267.83 is: 4,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.41 : 14,761.90 = 3,267.83 : x
  2. Step 2: Convert to fraction form
    9,843.41/14,761.90 = 3,267.83/x
  3. Step 3: Cross multiply
    9,843.41x = 14,761.90 × 3,267.83
  4. Step 4: Simplify right side
    9,843.41x = 48,239,289.53
  5. Step 5: Solve for x
    x = 48,239,289.53/9,843.41
  6. Step 6: Final answer
    x = 4,900.67

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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.