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Finding the Fourth Proportional to 6,768.32, 9,340.12 and 3,784.43

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Solution

The fourth proportional to 6,768.32, 9,340.12 and 3,784.43 is: 5,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.32 : 9,340.12 = 3,784.43 : x
  2. Step 2: Convert to fraction form
    6,768.32/9,340.12 = 3,784.43/x
  3. Step 3: Cross multiply
    6,768.32x = 9,340.12 × 3,784.43
  4. Step 4: Simplify right side
    6,768.32x = 35,347,030.33
  5. Step 5: Solve for x
    x = 35,347,030.33/6,768.32
  6. Step 6: Final answer
    x = 5,222.42

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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.