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Finding the Fourth Proportional to 9,652.98, 14,471.82 and 3,813.96

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Solution

The fourth proportional to 9,652.98, 14,471.82 and 3,813.96 is: 5,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.98 : 14,471.82 = 3,813.96 : x
  2. Step 2: Convert to fraction form
    9,652.98/14,471.82 = 3,813.96/x
  3. Step 3: Cross multiply
    9,652.98x = 14,471.82 × 3,813.96
  4. Step 4: Simplify right side
    9,652.98x = 55,194,942.61
  5. Step 5: Solve for x
    x = 55,194,942.61/9,652.98
  6. Step 6: Final answer
    x = 5,717.92

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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.