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Finding the Fourth Proportional to 6,317.36, 9,466.20 and 4,004

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Solution

The fourth proportional to 6,317.36, 9,466.20 and 4,004 is: 5,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.36 : 9,466.20 = 4,004 : x
  2. Step 2: Convert to fraction form
    6,317.36/9,466.20 = 4,004/x
  3. Step 3: Cross multiply
    6,317.36x = 9,466.20 × 4,004
  4. Step 4: Simplify right side
    6,317.36x = 37,902,664.80
  5. Step 5: Solve for x
    x = 37,902,664.80/6,317.36
  6. Step 6: Final answer
    x = 5,999.76

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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.