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Finding the Fourth Proportional to 6,194.26, 9,294.15 and 2,503.70

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Solution

The fourth proportional to 6,194.26, 9,294.15 and 2,503.70 is: 3,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.26 : 9,294.15 = 2,503.70 : x
  2. Step 2: Convert to fraction form
    6,194.26/9,294.15 = 2,503.70/x
  3. Step 3: Cross multiply
    6,194.26x = 9,294.15 × 2,503.70
  4. Step 4: Simplify right side
    6,194.26x = 23,269,763.36
  5. Step 5: Solve for x
    x = 23,269,763.36/6,194.26
  6. Step 6: Final answer
    x = 3,756.67

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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.