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Finding the Fourth Proportional to 6,832.77, 9,431.22 and 4,475.07

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Solution

The fourth proportional to 6,832.77, 9,431.22 and 4,475.07 is: 6,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.77 : 9,431.22 = 4,475.07 : x
  2. Step 2: Convert to fraction form
    6,832.77/9,431.22 = 4,475.07/x
  3. Step 3: Cross multiply
    6,832.77x = 9,431.22 × 4,475.07
  4. Step 4: Simplify right side
    6,832.77x = 42,205,369.69
  5. Step 5: Solve for x
    x = 42,205,369.69/6,832.77
  6. Step 6: Final answer
    x = 6,176.90

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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.