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Finding the Fourth Proportional to 6,140.89, 9,208.09 and 2,676.25

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Solution

The fourth proportional to 6,140.89, 9,208.09 and 2,676.25 is: 4,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.89 : 9,208.09 = 2,676.25 : x
  2. Step 2: Convert to fraction form
    6,140.89/9,208.09 = 2,676.25/x
  3. Step 3: Cross multiply
    6,140.89x = 9,208.09 × 2,676.25
  4. Step 4: Simplify right side
    6,140.89x = 24,643,150.86
  5. Step 5: Solve for x
    x = 24,643,150.86/6,140.89
  6. Step 6: Final answer
    x = 4,012.96

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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.