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Finding the Fourth Proportional to 6,311.09, 9,459.84 and 3,017.18

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Solution

The fourth proportional to 6,311.09, 9,459.84 and 3,017.18 is: 4,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.09 : 9,459.84 = 3,017.18 : x
  2. Step 2: Convert to fraction form
    6,311.09/9,459.84 = 3,017.18/x
  3. Step 3: Cross multiply
    6,311.09x = 9,459.84 × 3,017.18
  4. Step 4: Simplify right side
    6,311.09x = 28,542,040.05
  5. Step 5: Solve for x
    x = 28,542,040.05/6,311.09
  6. Step 6: Final answer
    x = 4,522.52

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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.