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Finding the Fourth Proportional to 8,133.41, 12,193.41 and 3,969.02

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Solution

The fourth proportional to 8,133.41, 12,193.41 and 3,969.02 is: 5,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.41 : 12,193.41 = 3,969.02 : x
  2. Step 2: Convert to fraction form
    8,133.41/12,193.41 = 3,969.02/x
  3. Step 3: Cross multiply
    8,133.41x = 12,193.41 × 3,969.02
  4. Step 4: Simplify right side
    8,133.41x = 48,395,888.16
  5. Step 5: Solve for x
    x = 48,395,888.16/8,133.41
  6. Step 6: Final answer
    x = 5,950.26

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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.