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Finding the Fourth Proportional to 6,814.44, 9,404.34 and 3,830.52

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Solution

The fourth proportional to 6,814.44, 9,404.34 and 3,830.52 is: 5,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.44 : 9,404.34 = 3,830.52 : x
  2. Step 2: Convert to fraction form
    6,814.44/9,404.34 = 3,830.52/x
  3. Step 3: Cross multiply
    6,814.44x = 9,404.34 × 3,830.52
  4. Step 4: Simplify right side
    6,814.44x = 36,023,512.46
  5. Step 5: Solve for x
    x = 36,023,512.46/6,814.44
  6. Step 6: Final answer
    x = 5,286.35

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