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Finding the Fourth Proportional to 9,625.44, 13,274.82 and 6,267

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Solution

The fourth proportional to 9,625.44, 13,274.82 and 6,267 is: 8,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.44 : 13,274.82 = 6,267 : x
  2. Step 2: Convert to fraction form
    9,625.44/13,274.82 = 6,267/x
  3. Step 3: Cross multiply
    9,625.44x = 13,274.82 × 6,267
  4. Step 4: Simplify right side
    9,625.44x = 83,193,296.94
  5. Step 5: Solve for x
    x = 83,193,296.94/9,625.44
  6. Step 6: Final answer
    x = 8,643.06

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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.