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Finding the Fourth Proportional to 9,783.53, 14,649.00 and 8,049.46

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Solution

The fourth proportional to 9,783.53, 14,649.00 and 8,049.46 is: 12,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.53 : 14,649.00 = 8,049.46 : x
  2. Step 2: Convert to fraction form
    9,783.53/14,649.00 = 8,049.46/x
  3. Step 3: Cross multiply
    9,783.53x = 14,649.00 × 8,049.46
  4. Step 4: Simplify right side
    9,783.53x = 117,916,426.05
  5. Step 5: Solve for x
    x = 117,916,426.05/9,783.53
  6. Step 6: Final answer
    x = 12,052.54

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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.