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Finding the Fourth Proportional to 9,274.96, 12,799.52 and 5,083.21

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Solution

The fourth proportional to 9,274.96, 12,799.52 and 5,083.21 is: 7,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.96 : 12,799.52 = 5,083.21 : x
  2. Step 2: Convert to fraction form
    9,274.96/12,799.52 = 5,083.21/x
  3. Step 3: Cross multiply
    9,274.96x = 12,799.52 × 5,083.21
  4. Step 4: Simplify right side
    9,274.96x = 65,062,648.06
  5. Step 5: Solve for x
    x = 65,062,648.06/9,274.96
  6. Step 6: Final answer
    x = 7,014.87

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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.