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Finding the Fourth Proportional to 6,814.85, 9,404.60 and 3,830.67

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Solution

The fourth proportional to 6,814.85, 9,404.60 and 3,830.67 is: 5,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.85 : 9,404.60 = 3,830.67 : x
  2. Step 2: Convert to fraction form
    6,814.85/9,404.60 = 3,830.67/x
  3. Step 3: Cross multiply
    6,814.85x = 9,404.60 × 3,830.67
  4. Step 4: Simplify right side
    6,814.85x = 36,025,899.93
  5. Step 5: Solve for x
    x = 36,025,899.93/6,814.85
  6. Step 6: Final answer
    x = 5,286.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.