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Finding the Fourth Proportional to 6,167.70, 9,250.62 and 2,271.20

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Solution

The fourth proportional to 6,167.70, 9,250.62 and 2,271.20 is: 3,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.70 : 9,250.62 = 2,271.20 : x
  2. Step 2: Convert to fraction form
    6,167.70/9,250.62 = 2,271.20/x
  3. Step 3: Cross multiply
    6,167.70x = 9,250.62 × 2,271.20
  4. Step 4: Simplify right side
    6,167.70x = 21,009,961.89
  5. Step 5: Solve for x
    x = 21,009,961.89/6,167.70
  6. Step 6: Final answer
    x = 3,406.45

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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.