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Finding the Fourth Proportional to 9,467.70, 14,199.96 and 3,543

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Solution

The fourth proportional to 9,467.70, 14,199.96 and 3,543 is: 5,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.70 : 14,199.96 = 3,543 : x
  2. Step 2: Convert to fraction form
    9,467.70/14,199.96 = 3,543/x
  3. Step 3: Cross multiply
    9,467.70x = 14,199.96 × 3,543
  4. Step 4: Simplify right side
    9,467.70x = 50,310,458.28
  5. Step 5: Solve for x
    x = 50,310,458.28/9,467.70
  6. Step 6: Final answer
    x = 5,313.90

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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.