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Finding the Fourth Proportional to 6,211.08, 9,294.75 and 4,738.50

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Solution

The fourth proportional to 6,211.08, 9,294.75 and 4,738.50 is: 7,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.08 : 9,294.75 = 4,738.50 : x
  2. Step 2: Convert to fraction form
    6,211.08/9,294.75 = 4,738.50/x
  3. Step 3: Cross multiply
    6,211.08x = 9,294.75 × 4,738.50
  4. Step 4: Simplify right side
    6,211.08x = 44,043,172.88
  5. Step 5: Solve for x
    x = 44,043,172.88/6,211.08
  6. Step 6: Final answer
    x = 7,091.07

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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.