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Finding the Fourth Proportional to 9,682.96, 14,521.41 and 3,107.69

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Solution

The fourth proportional to 9,682.96, 14,521.41 and 3,107.69 is: 4,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.96 : 14,521.41 = 3,107.69 : x
  2. Step 2: Convert to fraction form
    9,682.96/14,521.41 = 3,107.69/x
  3. Step 3: Cross multiply
    9,682.96x = 14,521.41 × 3,107.69
  4. Step 4: Simplify right side
    9,682.96x = 45,128,040.64
  5. Step 5: Solve for x
    x = 45,128,040.64/9,682.96
  6. Step 6: Final answer
    x = 4,660.56

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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.