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Finding the Fourth Proportional to 9,678.66, 13,362.38 and 6,327.09

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Solution

The fourth proportional to 9,678.66, 13,362.38 and 6,327.09 is: 8,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.66 : 13,362.38 = 6,327.09 : x
  2. Step 2: Convert to fraction form
    9,678.66/13,362.38 = 6,327.09/x
  3. Step 3: Cross multiply
    9,678.66x = 13,362.38 × 6,327.09
  4. Step 4: Simplify right side
    9,678.66x = 84,544,944.28
  5. Step 5: Solve for x
    x = 84,544,944.28/9,678.66
  6. Step 6: Final answer
    x = 8,735.19

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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.