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Finding the Fourth Proportional to 9,338.50, 14,002.80 and 2,763.78

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Solution

The fourth proportional to 9,338.50, 14,002.80 and 2,763.78 is: 4,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.50 : 14,002.80 = 2,763.78 : x
  2. Step 2: Convert to fraction form
    9,338.50/14,002.80 = 2,763.78/x
  3. Step 3: Cross multiply
    9,338.50x = 14,002.80 × 2,763.78
  4. Step 4: Simplify right side
    9,338.50x = 38,700,658.58
  5. Step 5: Solve for x
    x = 38,700,658.58/9,338.50
  6. Step 6: Final answer
    x = 4,144.21

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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.