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Finding the Fourth Proportional to 6,269.88, 9,403.63 and 3,149.05

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Solution

The fourth proportional to 6,269.88, 9,403.63 and 3,149.05 is: 4,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.88 : 9,403.63 = 3,149.05 : x
  2. Step 2: Convert to fraction form
    6,269.88/9,403.63 = 3,149.05/x
  3. Step 3: Cross multiply
    6,269.88x = 9,403.63 × 3,149.05
  4. Step 4: Simplify right side
    6,269.88x = 29,612,501.05
  5. Step 5: Solve for x
    x = 29,612,501.05/6,269.88
  6. Step 6: Final answer
    x = 4,722.98

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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.