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Finding the Fourth Proportional to 28,206.38, 42,329.01 and 9,738.38

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Solution

The fourth proportional to 28,206.38, 42,329.01 and 9,738.38 is: 14,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.38 : 42,329.01 = 9,738.38 : x
  2. Step 2: Convert to fraction form
    28,206.38/42,329.01 = 9,738.38/x
  3. Step 3: Cross multiply
    28,206.38x = 42,329.01 × 9,738.38
  4. Step 4: Simplify right side
    28,206.38x = 412,215,772.76
  5. Step 5: Solve for x
    x = 412,215,772.76/28,206.38
  6. Step 6: Final answer
    x = 14,614.28

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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.