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Finding the Fourth Proportional to 6,292.08, 9,438.09 and 1,909.54

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Solution

The fourth proportional to 6,292.08, 9,438.09 and 1,909.54 is: 2,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.08 : 9,438.09 = 1,909.54 : x
  2. Step 2: Convert to fraction form
    6,292.08/9,438.09 = 1,909.54/x
  3. Step 3: Cross multiply
    6,292.08x = 9,438.09 × 1,909.54
  4. Step 4: Simplify right side
    6,292.08x = 18,022,415.02
  5. Step 5: Solve for x
    x = 18,022,415.02/6,292.08
  6. Step 6: Final answer
    x = 2,864.30

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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.