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Finding the Fourth Proportional to 6,863.27, 9,471.78 and 4,175.53

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Solution

The fourth proportional to 6,863.27, 9,471.78 and 4,175.53 is: 5,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.27 : 9,471.78 = 4,175.53 : x
  2. Step 2: Convert to fraction form
    6,863.27/9,471.78 = 4,175.53/x
  3. Step 3: Cross multiply
    6,863.27x = 9,471.78 × 4,175.53
  4. Step 4: Simplify right side
    6,863.27x = 39,549,701.54
  5. Step 5: Solve for x
    x = 39,549,701.54/6,863.27
  6. Step 6: Final answer
    x = 5,762.52

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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.