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Finding the Fourth Proportional to 6,273.72, 9,412.20 and 2,812.32

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Solution

The fourth proportional to 6,273.72, 9,412.20 and 2,812.32 is: 4,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.72 : 9,412.20 = 2,812.32 : x
  2. Step 2: Convert to fraction form
    6,273.72/9,412.20 = 2,812.32/x
  3. Step 3: Cross multiply
    6,273.72x = 9,412.20 × 2,812.32
  4. Step 4: Simplify right side
    6,273.72x = 26,470,118.30
  5. Step 5: Solve for x
    x = 26,470,118.30/6,273.72
  6. Step 6: Final answer
    x = 4,219.21

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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.