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Finding the Fourth Proportional to 6,297.45, 9,438.42 and 2,783.67

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Solution

The fourth proportional to 6,297.45, 9,438.42 and 2,783.67 is: 4,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.45 : 9,438.42 = 2,783.67 : x
  2. Step 2: Convert to fraction form
    6,297.45/9,438.42 = 2,783.67/x
  3. Step 3: Cross multiply
    6,297.45x = 9,438.42 × 2,783.67
  4. Step 4: Simplify right side
    6,297.45x = 26,273,446.60
  5. Step 5: Solve for x
    x = 26,273,446.60/6,297.45
  6. Step 6: Final answer
    x = 4,172.08

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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.