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Finding the Fourth Proportional to 6,678.28, 9,213.13 and 4,024.18

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Solution

The fourth proportional to 6,678.28, 9,213.13 and 4,024.18 is: 5,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.28 : 9,213.13 = 4,024.18 : x
  2. Step 2: Convert to fraction form
    6,678.28/9,213.13 = 4,024.18/x
  3. Step 3: Cross multiply
    6,678.28x = 9,213.13 × 4,024.18
  4. Step 4: Simplify right side
    6,678.28x = 37,075,227.30
  5. Step 5: Solve for x
    x = 37,075,227.30/6,678.28
  6. Step 6: Final answer
    x = 5,551.62

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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.