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Finding the Fourth Proportional to 9,811.99, 13,540.90 and 5,621.05

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Solution

The fourth proportional to 9,811.99, 13,540.90 and 5,621.05 is: 7,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.99 : 13,540.90 = 5,621.05 : x
  2. Step 2: Convert to fraction form
    9,811.99/13,540.90 = 5,621.05/x
  3. Step 3: Cross multiply
    9,811.99x = 13,540.90 × 5,621.05
  4. Step 4: Simplify right side
    9,811.99x = 76,113,997.38
  5. Step 5: Solve for x
    x = 76,113,997.38/9,811.99
  6. Step 6: Final answer
    x = 7,757.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.