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Finding the Fourth Proportional to 6,171.12, 9,257.83 and 2,473.64

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Solution

The fourth proportional to 6,171.12, 9,257.83 and 2,473.64 is: 3,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.12 : 9,257.83 = 2,473.64 : x
  2. Step 2: Convert to fraction form
    6,171.12/9,257.83 = 2,473.64/x
  3. Step 3: Cross multiply
    6,171.12x = 9,257.83 × 2,473.64
  4. Step 4: Simplify right side
    6,171.12x = 22,900,531.28
  5. Step 5: Solve for x
    x = 22,900,531.28/6,171.12
  6. Step 6: Final answer
    x = 3,710.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.