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Finding the Fourth Proportional to 6,833.49, 9,428.17 and 4,178.18

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Solution

The fourth proportional to 6,833.49, 9,428.17 and 4,178.18 is: 5,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.49 : 9,428.17 = 4,178.18 : x
  2. Step 2: Convert to fraction form
    6,833.49/9,428.17 = 4,178.18/x
  3. Step 3: Cross multiply
    6,833.49x = 9,428.17 × 4,178.18
  4. Step 4: Simplify right side
    6,833.49x = 39,392,591.33
  5. Step 5: Solve for x
    x = 39,392,591.33/6,833.49
  6. Step 6: Final answer
    x = 5,764.64

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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.