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Finding the Fourth Proportional to 9,493.82, 14,243.81 and 4,563.85

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Solution

The fourth proportional to 9,493.82, 14,243.81 and 4,563.85 is: 6,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.82 : 14,243.81 = 4,563.85 : x
  2. Step 2: Convert to fraction form
    9,493.82/14,243.81 = 4,563.85/x
  3. Step 3: Cross multiply
    9,493.82x = 14,243.81 × 4,563.85
  4. Step 4: Simplify right side
    9,493.82x = 65,006,592.61
  5. Step 5: Solve for x
    x = 65,006,592.61/9,493.82
  6. Step 6: Final answer
    x = 6,847.25

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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.