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Finding the Fourth Proportional to 6,851.12, 9,454.04 and 3,867.24

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Solution

The fourth proportional to 6,851.12, 9,454.04 and 3,867.24 is: 5,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.12 : 9,454.04 = 3,867.24 : x
  2. Step 2: Convert to fraction form
    6,851.12/9,454.04 = 3,867.24/x
  3. Step 3: Cross multiply
    6,851.12x = 9,454.04 × 3,867.24
  4. Step 4: Simplify right side
    6,851.12x = 36,561,041.65
  5. Step 5: Solve for x
    x = 36,561,041.65/6,851.12
  6. Step 6: Final answer
    x = 5,336.51

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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.