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Finding the Fourth Proportional to 9,682.00, 14,524.22 and 3,106.42

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Solution

The fourth proportional to 9,682.00, 14,524.22 and 3,106.42 is: 4,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.00 : 14,524.22 = 3,106.42 : x
  2. Step 2: Convert to fraction form
    9,682.00/14,524.22 = 3,106.42/x
  3. Step 3: Cross multiply
    9,682.00x = 14,524.22 × 3,106.42
  4. Step 4: Simplify right side
    9,682.00x = 45,118,363.80
  5. Step 5: Solve for x
    x = 45,118,363.80/9,682.00
  6. Step 6: Final answer
    x = 4,660.02

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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.