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Finding the Fourth Proportional to 6,584.80, 9,877.20 and 4,122.40

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Solution

The fourth proportional to 6,584.80, 9,877.20 and 4,122.40 is: 6,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.80 : 9,877.20 = 4,122.40 : x
  2. Step 2: Convert to fraction form
    6,584.80/9,877.20 = 4,122.40/x
  3. Step 3: Cross multiply
    6,584.80x = 9,877.20 × 4,122.40
  4. Step 4: Simplify right side
    6,584.80x = 40,717,769.28
  5. Step 5: Solve for x
    x = 40,717,769.28/6,584.80
  6. Step 6: Final answer
    x = 6,183.60

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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.