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Finding the Fourth Proportional to 9,682.92, 14,523.57 and 3,107.34

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Solution

The fourth proportional to 9,682.92, 14,523.57 and 3,107.34 is: 4,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.92 : 14,523.57 = 3,107.34 : x
  2. Step 2: Convert to fraction form
    9,682.92/14,523.57 = 3,107.34/x
  3. Step 3: Cross multiply
    9,682.92x = 14,523.57 × 3,107.34
  4. Step 4: Simplify right side
    9,682.92x = 45,129,670.00
  5. Step 5: Solve for x
    x = 45,129,670.00/9,682.92
  6. Step 6: Final answer
    x = 4,660.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.