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Finding the Fourth Proportional to 9,858.91, 13,601.80 and 6,324.07

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Solution

The fourth proportional to 9,858.91, 13,601.80 and 6,324.07 is: 8,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.91 : 13,601.80 = 6,324.07 : x
  2. Step 2: Convert to fraction form
    9,858.91/13,601.80 = 6,324.07/x
  3. Step 3: Cross multiply
    9,858.91x = 13,601.80 × 6,324.07
  4. Step 4: Simplify right side
    9,858.91x = 86,018,735.33
  5. Step 5: Solve for x
    x = 86,018,735.33/9,858.91
  6. Step 6: Final answer
    x = 8,724.97

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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.