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Finding the Fourth Proportional to 6,928.01, 9,561.14 and 3,943.84

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Solution

The fourth proportional to 6,928.01, 9,561.14 and 3,943.84 is: 5,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.01 : 9,561.14 = 3,943.84 : x
  2. Step 2: Convert to fraction form
    6,928.01/9,561.14 = 3,943.84/x
  3. Step 3: Cross multiply
    6,928.01x = 9,561.14 × 3,943.84
  4. Step 4: Simplify right side
    6,928.01x = 37,707,606.38
  5. Step 5: Solve for x
    x = 37,707,606.38/6,928.01
  6. Step 6: Final answer
    x = 5,442.78

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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.