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Finding the Fourth Proportional to 6,244.80, 9,367.68 and 2,782.40

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Solution

The fourth proportional to 6,244.80, 9,367.68 and 2,782.40 is: 4,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.80 : 9,367.68 = 2,782.40 : x
  2. Step 2: Convert to fraction form
    6,244.80/9,367.68 = 2,782.40/x
  3. Step 3: Cross multiply
    6,244.80x = 9,367.68 × 2,782.40
  4. Step 4: Simplify right side
    6,244.80x = 26,064,632.83
  5. Step 5: Solve for x
    x = 26,064,632.83/6,244.80
  6. Step 6: Final answer
    x = 4,173.81

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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.