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Finding the Fourth Proportional to 6,768.56, 9,343.35 and 5,820.53

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Solution

The fourth proportional to 6,768.56, 9,343.35 and 5,820.53 is: 8,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.56 : 9,343.35 = 5,820.53 : x
  2. Step 2: Convert to fraction form
    6,768.56/9,343.35 = 5,820.53/x
  3. Step 3: Cross multiply
    6,768.56x = 9,343.35 × 5,820.53
  4. Step 4: Simplify right side
    6,768.56x = 54,383,202.26
  5. Step 5: Solve for x
    x = 54,383,202.26/6,768.56
  6. Step 6: Final answer
    x = 8,034.68

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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.