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Finding the Fourth Proportional to 9,682.98, 13,357.58 and 6,327.75

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Solution

The fourth proportional to 9,682.98, 13,357.58 and 6,327.75 is: 8,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.98 : 13,357.58 = 6,327.75 : x
  2. Step 2: Convert to fraction form
    9,682.98/13,357.58 = 6,327.75/x
  3. Step 3: Cross multiply
    9,682.98x = 13,357.58 × 6,327.75
  4. Step 4: Simplify right side
    9,682.98x = 84,523,395.21
  5. Step 5: Solve for x
    x = 84,523,395.21/9,682.98
  6. Step 6: Final answer
    x = 8,729.07

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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.