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Finding the Fourth Proportional to 6,291.87, 9,439.16 and 1,909.21

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Solution

The fourth proportional to 6,291.87, 9,439.16 and 1,909.21 is: 2,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.87 : 9,439.16 = 1,909.21 : x
  2. Step 2: Convert to fraction form
    6,291.87/9,439.16 = 1,909.21/x
  3. Step 3: Cross multiply
    6,291.87x = 9,439.16 × 1,909.21
  4. Step 4: Simplify right side
    6,291.87x = 18,021,338.66
  5. Step 5: Solve for x
    x = 18,021,338.66/6,291.87
  6. Step 6: Final answer
    x = 2,864.23

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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.