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Finding the Fourth Proportional to 6,235.57, 9,335.36 and 5,797.66

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Solution

The fourth proportional to 6,235.57, 9,335.36 and 5,797.66 is: 8,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.57 : 9,335.36 = 5,797.66 : x
  2. Step 2: Convert to fraction form
    6,235.57/9,335.36 = 5,797.66/x
  3. Step 3: Cross multiply
    6,235.57x = 9,335.36 × 5,797.66
  4. Step 4: Simplify right side
    6,235.57x = 54,123,243.26
  5. Step 5: Solve for x
    x = 54,123,243.26/6,235.57
  6. Step 6: Final answer
    x = 8,679.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.