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Finding the Fourth Proportional to 9,203.56, 13,797.78 and 3,356.44

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Solution

The fourth proportional to 9,203.56, 13,797.78 and 3,356.44 is: 5,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.56 : 13,797.78 = 3,356.44 : x
  2. Step 2: Convert to fraction form
    9,203.56/13,797.78 = 3,356.44/x
  3. Step 3: Cross multiply
    9,203.56x = 13,797.78 × 3,356.44
  4. Step 4: Simplify right side
    9,203.56x = 46,311,420.70
  5. Step 5: Solve for x
    x = 46,311,420.70/9,203.56
  6. Step 6: Final answer
    x = 5,031.90

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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.