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Finding the Fourth Proportional to 9,858.24, 13,610.88 and 6,323.04

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Solution

The fourth proportional to 9,858.24, 13,610.88 and 6,323.04 is: 8,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.24 : 13,610.88 = 6,323.04 : x
  2. Step 2: Convert to fraction form
    9,858.24/13,610.88 = 6,323.04/x
  3. Step 3: Cross multiply
    9,858.24x = 13,610.88 × 6,323.04
  4. Step 4: Simplify right side
    9,858.24x = 86,062,138.68
  5. Step 5: Solve for x
    x = 86,062,138.68/9,858.24
  6. Step 6: Final answer
    x = 8,729.97

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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.