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Finding the Fourth Proportional to 9,846.36, 13,583.82 and 6,067.32

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Solution

The fourth proportional to 9,846.36, 13,583.82 and 6,067.32 is: 8,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.36 : 13,583.82 = 6,067.32 : x
  2. Step 2: Convert to fraction form
    9,846.36/13,583.82 = 6,067.32/x
  3. Step 3: Cross multiply
    9,846.36x = 13,583.82 × 6,067.32
  4. Step 4: Simplify right side
    9,846.36x = 82,417,382.76
  5. Step 5: Solve for x
    x = 82,417,382.76/9,846.36
  6. Step 6: Final answer
    x = 8,370.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.