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Finding the Fourth Proportional to 6,338.74, 9,505.40 and 2,179.16

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Solution

The fourth proportional to 6,338.74, 9,505.40 and 2,179.16 is: 3,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.74 : 9,505.40 = 2,179.16 : x
  2. Step 2: Convert to fraction form
    6,338.74/9,505.40 = 2,179.16/x
  3. Step 3: Cross multiply
    6,338.74x = 9,505.40 × 2,179.16
  4. Step 4: Simplify right side
    6,338.74x = 20,713,787.46
  5. Step 5: Solve for x
    x = 20,713,787.46/6,338.74
  6. Step 6: Final answer
    x = 3,267.81

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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.