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Finding the Fourth Proportional to 9,561.38, 13,195.41 and 5,581.64

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Solution

The fourth proportional to 9,561.38, 13,195.41 and 5,581.64 is: 7,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.38 : 13,195.41 = 5,581.64 : x
  2. Step 2: Convert to fraction form
    9,561.38/13,195.41 = 5,581.64/x
  3. Step 3: Cross multiply
    9,561.38x = 13,195.41 × 5,581.64
  4. Step 4: Simplify right side
    9,561.38x = 73,652,028.27
  5. Step 5: Solve for x
    x = 73,652,028.27/9,561.38
  6. Step 6: Final answer
    x = 7,703.08

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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.