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Finding the Fourth Proportional to 9,682.35, 14,524.07 and 2,756.31

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Solution

The fourth proportional to 9,682.35, 14,524.07 and 2,756.31 is: 4,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.35 : 14,524.07 = 2,756.31 : x
  2. Step 2: Convert to fraction form
    9,682.35/14,524.07 = 2,756.31/x
  3. Step 3: Cross multiply
    9,682.35x = 14,524.07 × 2,756.31
  4. Step 4: Simplify right side
    9,682.35x = 40,032,839.38
  5. Step 5: Solve for x
    x = 40,032,839.38/9,682.35
  6. Step 6: Final answer
    x = 4,134.62

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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.