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Finding the Fourth Proportional to 6,833.36, 9,431.57 and 4,474.13

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Solution

The fourth proportional to 6,833.36, 9,431.57 and 4,474.13 is: 6,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.36 : 9,431.57 = 4,474.13 : x
  2. Step 2: Convert to fraction form
    6,833.36/9,431.57 = 4,474.13/x
  3. Step 3: Cross multiply
    6,833.36x = 9,431.57 × 4,474.13
  4. Step 4: Simplify right side
    6,833.36x = 42,198,000.76
  5. Step 5: Solve for x
    x = 42,198,000.76/6,833.36
  6. Step 6: Final answer
    x = 6,175.30

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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.