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Finding the Fourth Proportional to 9,284.98, 13,928.67 and 3,440.98

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Solution

The fourth proportional to 9,284.98, 13,928.67 and 3,440.98 is: 5,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.98 : 13,928.67 = 3,440.98 : x
  2. Step 2: Convert to fraction form
    9,284.98/13,928.67 = 3,440.98/x
  3. Step 3: Cross multiply
    9,284.98x = 13,928.67 × 3,440.98
  4. Step 4: Simplify right side
    9,284.98x = 47,928,274.90
  5. Step 5: Solve for x
    x = 47,928,274.90/9,284.98
  6. Step 6: Final answer
    x = 5,161.91

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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.