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Finding the Fourth Proportional to 9,709.38, 14,563.92 and 2,783.88

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Solution

The fourth proportional to 9,709.38, 14,563.92 and 2,783.88 is: 4,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.38 : 14,563.92 = 2,783.88 : x
  2. Step 2: Convert to fraction form
    9,709.38/14,563.92 = 2,783.88/x
  3. Step 3: Cross multiply
    9,709.38x = 14,563.92 × 2,783.88
  4. Step 4: Simplify right side
    9,709.38x = 40,544,205.61
  5. Step 5: Solve for x
    x = 40,544,205.61/9,709.38
  6. Step 6: Final answer
    x = 4,175.78

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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.