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Finding the Fourth Proportional to 6,697.17, 9,243.92 and 4,177.79

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Solution

The fourth proportional to 6,697.17, 9,243.92 and 4,177.79 is: 5,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.17 : 9,243.92 = 4,177.79 : x
  2. Step 2: Convert to fraction form
    6,697.17/9,243.92 = 4,177.79/x
  3. Step 3: Cross multiply
    6,697.17x = 9,243.92 × 4,177.79
  4. Step 4: Simplify right side
    6,697.17x = 38,619,089.43
  5. Step 5: Solve for x
    x = 38,619,089.43/6,697.17
  6. Step 6: Final answer
    x = 5,766.48

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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.