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Finding the Fourth Proportional to 6,171.56, 9,250.86 and 3,047.32

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Solution

The fourth proportional to 6,171.56, 9,250.86 and 3,047.32 is: 4,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.56 : 9,250.86 = 3,047.32 : x
  2. Step 2: Convert to fraction form
    6,171.56/9,250.86 = 3,047.32/x
  3. Step 3: Cross multiply
    6,171.56x = 9,250.86 × 3,047.32
  4. Step 4: Simplify right side
    6,171.56x = 28,190,330.70
  5. Step 5: Solve for x
    x = 28,190,330.70/6,171.56
  6. Step 6: Final answer
    x = 4,567.78

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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.