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Finding the Fourth Proportional to 6,768.30, 9,340.26 and 3,784.14

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Solution

The fourth proportional to 6,768.30, 9,340.26 and 3,784.14 is: 5,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.30 : 9,340.26 = 3,784.14 : x
  2. Step 2: Convert to fraction form
    6,768.30/9,340.26 = 3,784.14/x
  3. Step 3: Cross multiply
    6,768.30x = 9,340.26 × 3,784.14
  4. Step 4: Simplify right side
    6,768.30x = 35,344,851.48
  5. Step 5: Solve for x
    x = 35,344,851.48/6,768.30
  6. Step 6: Final answer
    x = 5,222.12

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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.