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Finding the Fourth Proportional to 9,137.60, 13,698 and 3,292.78

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Solution

The fourth proportional to 9,137.60, 13,698 and 3,292.78 is: 4,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.60 : 13,698 = 3,292.78 : x
  2. Step 2: Convert to fraction form
    9,137.60/13,698 = 3,292.78/x
  3. Step 3: Cross multiply
    9,137.60x = 13,698 × 3,292.78
  4. Step 4: Simplify right side
    9,137.60x = 45,104,500.44
  5. Step 5: Solve for x
    x = 45,104,500.44/9,137.60
  6. Step 6: Final answer
    x = 4,936.14

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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.