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Finding the Fourth Proportional to 6,812.44, 9,402.08 and 3,828.56

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Solution

The fourth proportional to 6,812.44, 9,402.08 and 3,828.56 is: 5,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.44 : 9,402.08 = 3,828.56 : x
  2. Step 2: Convert to fraction form
    6,812.44/9,402.08 = 3,828.56/x
  3. Step 3: Cross multiply
    6,812.44x = 9,402.08 × 3,828.56
  4. Step 4: Simplify right side
    6,812.44x = 35,996,427.40
  5. Step 5: Solve for x
    x = 35,996,427.40/6,812.44
  6. Step 6: Final answer
    x = 5,283.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.