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Finding the Fourth Proportional to 9,274.78, 12,799.17 and 5,083

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Solution

The fourth proportional to 9,274.78, 12,799.17 and 5,083 is: 7,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.78 : 12,799.17 = 5,083 : x
  2. Step 2: Convert to fraction form
    9,274.78/12,799.17 = 5,083/x
  3. Step 3: Cross multiply
    9,274.78x = 12,799.17 × 5,083
  4. Step 4: Simplify right side
    9,274.78x = 65,058,181.11
  5. Step 5: Solve for x
    x = 65,058,181.11/9,274.78
  6. Step 6: Final answer
    x = 7,014.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.