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Finding the Fourth Proportional to 6,517.44, 9,776.85 and 2,135.24

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Solution

The fourth proportional to 6,517.44, 9,776.85 and 2,135.24 is: 3,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.44 : 9,776.85 = 2,135.24 : x
  2. Step 2: Convert to fraction form
    6,517.44/9,776.85 = 2,135.24/x
  3. Step 3: Cross multiply
    6,517.44x = 9,776.85 × 2,135.24
  4. Step 4: Simplify right side
    6,517.44x = 20,875,900.97
  5. Step 5: Solve for x
    x = 20,875,900.97/6,517.44
  6. Step 6: Final answer
    x = 3,203.08

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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.