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Finding the Fourth Proportional to 6,289.42, 9,436.14 and 1,906.90

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Solution

The fourth proportional to 6,289.42, 9,436.14 and 1,906.90 is: 2,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.42 : 9,436.14 = 1,906.90 : x
  2. Step 2: Convert to fraction form
    6,289.42/9,436.14 = 1,906.90/x
  3. Step 3: Cross multiply
    6,289.42x = 9,436.14 × 1,906.90
  4. Step 4: Simplify right side
    6,289.42x = 17,993,775.37
  5. Step 5: Solve for x
    x = 17,993,775.37/6,289.42
  6. Step 6: Final answer
    x = 2,860.96

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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.