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Finding the Fourth Proportional to 9,858.05, 13,604.09 and 6,321.25

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Solution

The fourth proportional to 9,858.05, 13,604.09 and 6,321.25 is: 8,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.05 : 13,604.09 = 6,321.25 : x
  2. Step 2: Convert to fraction form
    9,858.05/13,604.09 = 6,321.25/x
  3. Step 3: Cross multiply
    9,858.05x = 13,604.09 × 6,321.25
  4. Step 4: Simplify right side
    9,858.05x = 85,994,853.91
  5. Step 5: Solve for x
    x = 85,994,853.91/9,858.05
  6. Step 6: Final answer
    x = 8,723.31

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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.