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Finding the Fourth Proportional to 9,682.61, 14,515.65 and 3,836.03

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Solution

The fourth proportional to 9,682.61, 14,515.65 and 3,836.03 is: 5,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.61 : 14,515.65 = 3,836.03 : x
  2. Step 2: Convert to fraction form
    9,682.61/14,515.65 = 3,836.03/x
  3. Step 3: Cross multiply
    9,682.61x = 14,515.65 × 3,836.03
  4. Step 4: Simplify right side
    9,682.61x = 55,682,396.29
  5. Step 5: Solve for x
    x = 55,682,396.29/9,682.61
  6. Step 6: Final answer
    x = 5,750.77

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Why These Related Problems?

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