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Finding the Fourth Proportional to 6,246.15, 9,367.12 and 2,085

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Solution

The fourth proportional to 6,246.15, 9,367.12 and 2,085 is: 3,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.15 : 9,367.12 = 2,085 : x
  2. Step 2: Convert to fraction form
    6,246.15/9,367.12 = 2,085/x
  3. Step 3: Cross multiply
    6,246.15x = 9,367.12 × 2,085
  4. Step 4: Simplify right side
    6,246.15x = 19,530,445.20
  5. Step 5: Solve for x
    x = 19,530,445.20/6,246.15
  6. Step 6: Final answer
    x = 3,126.80

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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.