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Finding the Fourth Proportional to 9,682.52, 13,362.84 and 5,704.88

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Solution

The fourth proportional to 9,682.52, 13,362.84 and 5,704.88 is: 7,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.52 : 13,362.84 = 5,704.88 : x
  2. Step 2: Convert to fraction form
    9,682.52/13,362.84 = 5,704.88/x
  3. Step 3: Cross multiply
    9,682.52x = 13,362.84 × 5,704.88
  4. Step 4: Simplify right side
    9,682.52x = 76,233,398.66
  5. Step 5: Solve for x
    x = 76,233,398.66/9,682.52
  6. Step 6: Final answer
    x = 7,873.30

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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.