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Finding the Fourth Proportional to 9,717.77, 13,406.31 and 6,179.09

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Solution

The fourth proportional to 9,717.77, 13,406.31 and 6,179.09 is: 8,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.77 : 13,406.31 = 6,179.09 : x
  2. Step 2: Convert to fraction form
    9,717.77/13,406.31 = 6,179.09/x
  3. Step 3: Cross multiply
    9,717.77x = 13,406.31 × 6,179.09
  4. Step 4: Simplify right side
    9,717.77x = 82,838,729.03
  5. Step 5: Solve for x
    x = 82,838,729.03/9,717.77
  6. Step 6: Final answer
    x = 8,524.46

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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.