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Finding the Fourth Proportional to 9,287.96, 13,928.96 and 3,046.28

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Solution

The fourth proportional to 9,287.96, 13,928.96 and 3,046.28 is: 4,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.96 : 13,928.96 = 3,046.28 : x
  2. Step 2: Convert to fraction form
    9,287.96/13,928.96 = 3,046.28/x
  3. Step 3: Cross multiply
    9,287.96x = 13,928.96 × 3,046.28
  4. Step 4: Simplify right side
    9,287.96x = 42,431,512.27
  5. Step 5: Solve for x
    x = 42,431,512.27/9,287.96
  6. Step 6: Final answer
    x = 4,568.44

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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.