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Finding the Fourth Proportional to 6,469.32, 9,706.44 and 2,576.46

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Solution

The fourth proportional to 6,469.32, 9,706.44 and 2,576.46 is: 3,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.32 : 9,706.44 = 2,576.46 : x
  2. Step 2: Convert to fraction form
    6,469.32/9,706.44 = 2,576.46/x
  3. Step 3: Cross multiply
    6,469.32x = 9,706.44 × 2,576.46
  4. Step 4: Simplify right side
    6,469.32x = 25,008,254.40
  5. Step 5: Solve for x
    x = 25,008,254.40/6,469.32
  6. Step 6: Final answer
    x = 3,865.67

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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.