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Finding the Fourth Proportional to 9,660.35, 13,333.78 and 5,682.75

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Solution

The fourth proportional to 9,660.35, 13,333.78 and 5,682.75 is: 7,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.35 : 13,333.78 = 5,682.75 : x
  2. Step 2: Convert to fraction form
    9,660.35/13,333.78 = 5,682.75/x
  3. Step 3: Cross multiply
    9,660.35x = 13,333.78 × 5,682.75
  4. Step 4: Simplify right side
    9,660.35x = 75,772,538.30
  5. Step 5: Solve for x
    x = 75,772,538.30/9,660.35
  6. Step 6: Final answer
    x = 7,843.66

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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.