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Finding the Fourth Proportional to 6,813.75, 9,399.13 and 4,291.52

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Solution

The fourth proportional to 6,813.75, 9,399.13 and 4,291.52 is: 5,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.75 : 9,399.13 = 4,291.52 : x
  2. Step 2: Convert to fraction form
    6,813.75/9,399.13 = 4,291.52/x
  3. Step 3: Cross multiply
    6,813.75x = 9,399.13 × 4,291.52
  4. Step 4: Simplify right side
    6,813.75x = 40,336,567.15
  5. Step 5: Solve for x
    x = 40,336,567.15/6,813.75
  6. Step 6: Final answer
    x = 5,919.88

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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.