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Finding the Fourth Proportional to 6,767.43, 9,340.56 and 4,114.28

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Solution

The fourth proportional to 6,767.43, 9,340.56 and 4,114.28 is: 5,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.43 : 9,340.56 = 4,114.28 : x
  2. Step 2: Convert to fraction form
    6,767.43/9,340.56 = 4,114.28/x
  3. Step 3: Cross multiply
    6,767.43x = 9,340.56 × 4,114.28
  4. Step 4: Simplify right side
    6,767.43x = 38,429,632.49
  5. Step 5: Solve for x
    x = 38,429,632.49/6,767.43
  6. Step 6: Final answer
    x = 5,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.