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Finding the Fourth Proportional to 28,202.37, 42,273.78 and 9,464.64

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Solution

The fourth proportional to 28,202.37, 42,273.78 and 9,464.64 is: 14,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,202.37 : 42,273.78 = 9,464.64 : x
  2. Step 2: Convert to fraction form
    28,202.37/42,273.78 = 9,464.64/x
  3. Step 3: Cross multiply
    28,202.37x = 42,273.78 × 9,464.64
  4. Step 4: Simplify right side
    28,202.37x = 400,106,109.14
  5. Step 5: Solve for x
    x = 400,106,109.14/28,202.37
  6. Step 6: Final answer
    x = 14,186.97

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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.