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Finding the Fourth Proportional to 6,768.63, 9,340.68 and 3,784.46

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Solution

The fourth proportional to 6,768.63, 9,340.68 and 3,784.46 is: 5,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.63 : 9,340.68 = 3,784.46 : x
  2. Step 2: Convert to fraction form
    6,768.63/9,340.68 = 3,784.46/x
  3. Step 3: Cross multiply
    6,768.63x = 9,340.68 × 3,784.46
  4. Step 4: Simplify right side
    6,768.63x = 35,349,397.32
  5. Step 5: Solve for x
    x = 35,349,397.32/6,768.63
  6. Step 6: Final answer
    x = 5,222.53

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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.