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Finding the Fourth Proportional to 6,407.54, 8,846.44 and 4,912.64

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Solution

The fourth proportional to 6,407.54, 8,846.44 and 4,912.64 is: 6,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.54 : 8,846.44 = 4,912.64 : x
  2. Step 2: Convert to fraction form
    6,407.54/8,846.44 = 4,912.64/x
  3. Step 3: Cross multiply
    6,407.54x = 8,846.44 × 4,912.64
  4. Step 4: Simplify right side
    6,407.54x = 43,459,375.00
  5. Step 5: Solve for x
    x = 43,459,375.00/6,407.54
  6. Step 6: Final answer
    x = 6,782.54

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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.