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Finding the Fourth Proportional to 9,842.41, 13,582.18 and 6,067.10

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Solution

The fourth proportional to 9,842.41, 13,582.18 and 6,067.10 is: 8,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.41 : 13,582.18 = 6,067.10 : x
  2. Step 2: Convert to fraction form
    9,842.41/13,582.18 = 6,067.10/x
  3. Step 3: Cross multiply
    9,842.41x = 13,582.18 × 6,067.10
  4. Step 4: Simplify right side
    9,842.41x = 82,404,485.82
  5. Step 5: Solve for x
    x = 82,404,485.82/9,842.41
  6. Step 6: Final answer
    x = 8,372.39

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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.