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Finding the Fourth Proportional to 9,142.44, 13,682.94 and 5,241

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Solution

The fourth proportional to 9,142.44, 13,682.94 and 5,241 is: 7,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.44 : 13,682.94 = 5,241 : x
  2. Step 2: Convert to fraction form
    9,142.44/13,682.94 = 5,241/x
  3. Step 3: Cross multiply
    9,142.44x = 13,682.94 × 5,241
  4. Step 4: Simplify right side
    9,142.44x = 71,712,288.54
  5. Step 5: Solve for x
    x = 71,712,288.54/9,142.44
  6. Step 6: Final answer
    x = 7,843.89

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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.