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Finding the Fourth Proportional to 9,352.80, 14,029.20 and 2,778.84

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Solution

The fourth proportional to 9,352.80, 14,029.20 and 2,778.84 is: 4,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.80 : 14,029.20 = 2,778.84 : x
  2. Step 2: Convert to fraction form
    9,352.80/14,029.20 = 2,778.84/x
  3. Step 3: Cross multiply
    9,352.80x = 14,029.20 × 2,778.84
  4. Step 4: Simplify right side
    9,352.80x = 38,984,902.13
  5. Step 5: Solve for x
    x = 38,984,902.13/9,352.80
  6. Step 6: Final answer
    x = 4,168.26

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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.