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Finding the Fourth Proportional to 9,524.36, 13,168.70 and 8,342.04

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Solution

The fourth proportional to 9,524.36, 13,168.70 and 8,342.04 is: 11,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.36 : 13,168.70 = 8,342.04 : x
  2. Step 2: Convert to fraction form
    9,524.36/13,168.70 = 8,342.04/x
  3. Step 3: Cross multiply
    9,524.36x = 13,168.70 × 8,342.04
  4. Step 4: Simplify right side
    9,524.36x = 109,853,780.44
  5. Step 5: Solve for x
    x = 109,853,780.44/9,524.36
  6. Step 6: Final answer
    x = 11,533.99

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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.