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Finding the Fourth Proportional to 8,429.42, 12,645.49 and 3,164.84

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Solution

The fourth proportional to 8,429.42, 12,645.49 and 3,164.84 is: 4,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.42 : 12,645.49 = 3,164.84 : x
  2. Step 2: Convert to fraction form
    8,429.42/12,645.49 = 3,164.84/x
  3. Step 3: Cross multiply
    8,429.42x = 12,645.49 × 3,164.84
  4. Step 4: Simplify right side
    8,429.42x = 40,020,952.57
  5. Step 5: Solve for x
    x = 40,020,952.57/8,429.42
  6. Step 6: Final answer
    x = 4,747.77

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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.