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Finding the Fourth Proportional to 6,140.30, 8,480.72 and 4,469.20

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Solution

The fourth proportional to 6,140.30, 8,480.72 and 4,469.20 is: 6,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.30 : 8,480.72 = 4,469.20 : x
  2. Step 2: Convert to fraction form
    6,140.30/8,480.72 = 4,469.20/x
  3. Step 3: Cross multiply
    6,140.30x = 8,480.72 × 4,469.20
  4. Step 4: Simplify right side
    6,140.30x = 37,902,033.82
  5. Step 5: Solve for x
    x = 37,902,033.82/6,140.30
  6. Step 6: Final answer
    x = 6,172.67

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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.