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Finding the Fourth Proportional to 6,767.74, 9,340.34 and 3,784.18

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Solution

The fourth proportional to 6,767.74, 9,340.34 and 3,784.18 is: 5,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.74 : 9,340.34 = 3,784.18 : x
  2. Step 2: Convert to fraction form
    6,767.74/9,340.34 = 3,784.18/x
  3. Step 3: Cross multiply
    6,767.74x = 9,340.34 × 3,784.18
  4. Step 4: Simplify right side
    6,767.74x = 35,345,527.82
  5. Step 5: Solve for x
    x = 35,345,527.82/6,767.74
  6. Step 6: Final answer
    x = 5,222.65

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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.