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Finding the Fourth Proportional to 6,310.80, 9,464.40 and 1,927.20

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Solution

The fourth proportional to 6,310.80, 9,464.40 and 1,927.20 is: 2,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.80 : 9,464.40 = 1,927.20 : x
  2. Step 2: Convert to fraction form
    6,310.80/9,464.40 = 1,927.20/x
  3. Step 3: Cross multiply
    6,310.80x = 9,464.40 × 1,927.20
  4. Step 4: Simplify right side
    6,310.80x = 18,239,791.68
  5. Step 5: Solve for x
    x = 18,239,791.68/6,310.80
  6. Step 6: Final answer
    x = 2,890.25

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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.