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Finding the Fourth Proportional to 6,469.46, 8,930.04 and 4,203.90

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Solution

The fourth proportional to 6,469.46, 8,930.04 and 4,203.90 is: 5,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.46 : 8,930.04 = 4,203.90 : x
  2. Step 2: Convert to fraction form
    6,469.46/8,930.04 = 4,203.90/x
  3. Step 3: Cross multiply
    6,469.46x = 8,930.04 × 4,203.90
  4. Step 4: Simplify right side
    6,469.46x = 37,540,995.16
  5. Step 5: Solve for x
    x = 37,540,995.16/6,469.46
  6. Step 6: Final answer
    x = 5,802.80

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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.