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Finding the Fourth Proportional to 9,384.14, 14,074.11 and 2,809.49

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Solution

The fourth proportional to 9,384.14, 14,074.11 and 2,809.49 is: 4,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.14 : 14,074.11 = 2,809.49 : x
  2. Step 2: Convert to fraction form
    9,384.14/14,074.11 = 2,809.49/x
  3. Step 3: Cross multiply
    9,384.14x = 14,074.11 × 2,809.49
  4. Step 4: Simplify right side
    9,384.14x = 39,541,000.93
  5. Step 5: Solve for x
    x = 39,541,000.93/9,384.14
  6. Step 6: Final answer
    x = 4,213.60

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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.