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Finding the Fourth Proportional to 6,335.86, 8,695.23 and 5,832.85

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Solution

The fourth proportional to 6,335.86, 8,695.23 and 5,832.85 is: 8,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.86 : 8,695.23 = 5,832.85 : x
  2. Step 2: Convert to fraction form
    6,335.86/8,695.23 = 5,832.85/x
  3. Step 3: Cross multiply
    6,335.86x = 8,695.23 × 5,832.85
  4. Step 4: Simplify right side
    6,335.86x = 50,717,972.31
  5. Step 5: Solve for x
    x = 50,717,972.31/6,335.86
  6. Step 6: Final answer
    x = 8,004.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.