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Finding the Fourth Proportional to 9,739.91, 13,441.16 and 5,548.43

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Solution

The fourth proportional to 9,739.91, 13,441.16 and 5,548.43 is: 7,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.91 : 13,441.16 = 5,548.43 : x
  2. Step 2: Convert to fraction form
    9,739.91/13,441.16 = 5,548.43/x
  3. Step 3: Cross multiply
    9,739.91x = 13,441.16 × 5,548.43
  4. Step 4: Simplify right side
    9,739.91x = 74,577,335.38
  5. Step 5: Solve for x
    x = 74,577,335.38/9,739.91
  6. Step 6: Final answer
    x = 7,656.88

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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.