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Finding the Fourth Proportional to 9,894.56, 13,652.31 and 6,067.02

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Solution

The fourth proportional to 9,894.56, 13,652.31 and 6,067.02 is: 8,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.56 : 13,652.31 = 6,067.02 : x
  2. Step 2: Convert to fraction form
    9,894.56/13,652.31 = 6,067.02/x
  3. Step 3: Cross multiply
    9,894.56x = 13,652.31 × 6,067.02
  4. Step 4: Simplify right side
    9,894.56x = 82,828,837.82
  5. Step 5: Solve for x
    x = 82,828,837.82/9,894.56
  6. Step 6: Final answer
    x = 8,371.15

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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.