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Finding the Fourth Proportional to 9,257.94, 13,884.03 and 3,100.50

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Solution

The fourth proportional to 9,257.94, 13,884.03 and 3,100.50 is: 4,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.94 : 13,884.03 = 3,100.50 : x
  2. Step 2: Convert to fraction form
    9,257.94/13,884.03 = 3,100.50/x
  3. Step 3: Cross multiply
    9,257.94x = 13,884.03 × 3,100.50
  4. Step 4: Simplify right side
    9,257.94x = 43,047,435.02
  5. Step 5: Solve for x
    x = 43,047,435.02/9,257.94
  6. Step 6: Final answer
    x = 4,649.79

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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.