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Finding the Fourth Proportional to 6,768.70, 9,341.26 and 3,785.06

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Solution

The fourth proportional to 6,768.70, 9,341.26 and 3,785.06 is: 5,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.70 : 9,341.26 = 3,785.06 : x
  2. Step 2: Convert to fraction form
    6,768.70/9,341.26 = 3,785.06/x
  3. Step 3: Cross multiply
    6,768.70x = 9,341.26 × 3,785.06
  4. Step 4: Simplify right side
    6,768.70x = 35,357,243.47
  5. Step 5: Solve for x
    x = 35,357,243.47/6,768.70
  6. Step 6: Final answer
    x = 5,223.64

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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.