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Finding the Fourth Proportional to 9,258.44, 13,884.78 and 3,101

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Solution

The fourth proportional to 9,258.44, 13,884.78 and 3,101 is: 4,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.44 : 13,884.78 = 3,101 : x
  2. Step 2: Convert to fraction form
    9,258.44/13,884.78 = 3,101/x
  3. Step 3: Cross multiply
    9,258.44x = 13,884.78 × 3,101
  4. Step 4: Simplify right side
    9,258.44x = 43,056,702.78
  5. Step 5: Solve for x
    x = 43,056,702.78/9,258.44
  6. Step 6: Final answer
    x = 4,650.54

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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.