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Finding the Fourth Proportional to 6,844.57, 9,444.70 and 3,860.22

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Solution

The fourth proportional to 6,844.57, 9,444.70 and 3,860.22 is: 5,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.57 : 9,444.70 = 3,860.22 : x
  2. Step 2: Convert to fraction form
    6,844.57/9,444.70 = 3,860.22/x
  3. Step 3: Cross multiply
    6,844.57x = 9,444.70 × 3,860.22
  4. Step 4: Simplify right side
    6,844.57x = 36,458,660.08
  5. Step 5: Solve for x
    x = 36,458,660.08/6,844.57
  6. Step 6: Final answer
    x = 5,326.66

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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.