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Finding the Fourth Proportional to 27,907.44, 41,861.16 and 9,438

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Solution

The fourth proportional to 27,907.44, 41,861.16 and 9,438 is: 14,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.44 : 41,861.16 = 9,438 : x
  2. Step 2: Convert to fraction form
    27,907.44/41,861.16 = 9,438/x
  3. Step 3: Cross multiply
    27,907.44x = 41,861.16 × 9,438
  4. Step 4: Simplify right side
    27,907.44x = 395,085,628.08
  5. Step 5: Solve for x
    x = 395,085,628.08/27,907.44
  6. Step 6: Final answer
    x = 14,157.00

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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.