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Finding the Fourth Proportional to 6,211.40, 9,317.10 and 3,446.60

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Solution

The fourth proportional to 6,211.40, 9,317.10 and 3,446.60 is: 5,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.40 : 9,317.10 = 3,446.60 : x
  2. Step 2: Convert to fraction form
    6,211.40/9,317.10 = 3,446.60/x
  3. Step 3: Cross multiply
    6,211.40x = 9,317.10 × 3,446.60
  4. Step 4: Simplify right side
    6,211.40x = 32,112,316.86
  5. Step 5: Solve for x
    x = 32,112,316.86/6,211.40
  6. Step 6: Final answer
    x = 5,169.90

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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.