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Finding the Fourth Proportional to 6,290.77, 9,438.85 and 2,131.22

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Solution

The fourth proportional to 6,290.77, 9,438.85 and 2,131.22 is: 3,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.77 : 9,438.85 = 2,131.22 : x
  2. Step 2: Convert to fraction form
    6,290.77/9,438.85 = 2,131.22/x
  3. Step 3: Cross multiply
    6,290.77x = 9,438.85 × 2,131.22
  4. Step 4: Simplify right side
    6,290.77x = 20,116,208.05
  5. Step 5: Solve for x
    x = 20,116,208.05/6,290.77
  6. Step 6: Final answer
    x = 3,197.74

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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.