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Finding the Fourth Proportional to 9,274.75, 12,799.16 and 5,083

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Solution

The fourth proportional to 9,274.75, 12,799.16 and 5,083 is: 7,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.75 : 12,799.16 = 5,083 : x
  2. Step 2: Convert to fraction form
    9,274.75/12,799.16 = 5,083/x
  3. Step 3: Cross multiply
    9,274.75x = 12,799.16 × 5,083
  4. Step 4: Simplify right side
    9,274.75x = 65,058,104.87
  5. Step 5: Solve for x
    x = 65,058,104.87/9,274.75
  6. Step 6: Final answer
    x = 7,014.54

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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.