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Finding the Fourth Proportional to 6,290.41, 9,435.75 and 1,907.86

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Solution

The fourth proportional to 6,290.41, 9,435.75 and 1,907.86 is: 2,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.41 : 9,435.75 = 1,907.86 : x
  2. Step 2: Convert to fraction form
    6,290.41/9,435.75 = 1,907.86/x
  3. Step 3: Cross multiply
    6,290.41x = 9,435.75 × 1,907.86
  4. Step 4: Simplify right side
    6,290.41x = 18,002,090.00
  5. Step 5: Solve for x
    x = 18,002,090.00/6,290.41
  6. Step 6: Final answer
    x = 2,861.83

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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.