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Finding the Fourth Proportional to 6,289.41, 9,434.25 and 1,906.86

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Solution

The fourth proportional to 6,289.41, 9,434.25 and 1,906.86 is: 2,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.41 : 9,434.25 = 1,906.86 : x
  2. Step 2: Convert to fraction form
    6,289.41/9,434.25 = 1,906.86/x
  3. Step 3: Cross multiply
    6,289.41x = 9,434.25 × 1,906.86
  4. Step 4: Simplify right side
    6,289.41x = 17,989,793.96
  5. Step 5: Solve for x
    x = 17,989,793.96/6,289.41
  6. Step 6: Final answer
    x = 2,860.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.