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Finding the Fourth Proportional to 6,412.80, 9,608.40 and 5,311.20

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Solution

The fourth proportional to 6,412.80, 9,608.40 and 5,311.20 is: 7,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.80 : 9,608.40 = 5,311.20 : x
  2. Step 2: Convert to fraction form
    6,412.80/9,608.40 = 5,311.20/x
  3. Step 3: Cross multiply
    6,412.80x = 9,608.40 × 5,311.20
  4. Step 4: Simplify right side
    6,412.80x = 51,032,134.08
  5. Step 5: Solve for x
    x = 51,032,134.08/6,412.80
  6. Step 6: Final answer
    x = 7,957.86

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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.