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Finding the Fourth Proportional to 9,254.26, 12,772.74 and 6,427.54

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Solution

The fourth proportional to 9,254.26, 12,772.74 and 6,427.54 is: 8,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.26 : 12,772.74 = 6,427.54 : x
  2. Step 2: Convert to fraction form
    9,254.26/12,772.74 = 6,427.54/x
  3. Step 3: Cross multiply
    9,254.26x = 12,772.74 × 6,427.54
  4. Step 4: Simplify right side
    9,254.26x = 82,097,297.26
  5. Step 5: Solve for x
    x = 82,097,297.26/9,254.26
  6. Step 6: Final answer
    x = 8,871.30

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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.