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Finding the Fourth Proportional to 9,083.68, 13,627.02 and 2,844.29

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Solution

The fourth proportional to 9,083.68, 13,627.02 and 2,844.29 is: 4,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.68 : 13,627.02 = 2,844.29 : x
  2. Step 2: Convert to fraction form
    9,083.68/13,627.02 = 2,844.29/x
  3. Step 3: Cross multiply
    9,083.68x = 13,627.02 × 2,844.29
  4. Step 4: Simplify right side
    9,083.68x = 38,759,196.72
  5. Step 5: Solve for x
    x = 38,759,196.72/9,083.68
  6. Step 6: Final answer
    x = 4,266.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.