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Finding the Fourth Proportional to 6,697.08, 9,238.86 and 4,177.56

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Solution

The fourth proportional to 6,697.08, 9,238.86 and 4,177.56 is: 5,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.08 : 9,238.86 = 4,177.56 : x
  2. Step 2: Convert to fraction form
    6,697.08/9,238.86 = 4,177.56/x
  3. Step 3: Cross multiply
    6,697.08x = 9,238.86 × 4,177.56
  4. Step 4: Simplify right side
    6,697.08x = 38,595,891.98
  5. Step 5: Solve for x
    x = 38,595,891.98/6,697.08
  6. Step 6: Final answer
    x = 5,763.09

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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.