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Finding the Fourth Proportional to 9,361.28, 12,908.07 and 6,378.86

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Solution

The fourth proportional to 9,361.28, 12,908.07 and 6,378.86 is: 8,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.28 : 12,908.07 = 6,378.86 : x
  2. Step 2: Convert to fraction form
    9,361.28/12,908.07 = 6,378.86/x
  3. Step 3: Cross multiply
    9,361.28x = 12,908.07 × 6,378.86
  4. Step 4: Simplify right side
    9,361.28x = 82,338,771.40
  5. Step 5: Solve for x
    x = 82,338,771.40/9,361.28
  6. Step 6: Final answer
    x = 8,795.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.