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Finding the Fourth Proportional to 9,896.49, 14,835.78 and 3,652.20

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Solution

The fourth proportional to 9,896.49, 14,835.78 and 3,652.20 is: 5,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.49 : 14,835.78 = 3,652.20 : x
  2. Step 2: Convert to fraction form
    9,896.49/14,835.78 = 3,652.20/x
  3. Step 3: Cross multiply
    9,896.49x = 14,835.78 × 3,652.20
  4. Step 4: Simplify right side
    9,896.49x = 54,183,235.72
  5. Step 5: Solve for x
    x = 54,183,235.72/9,896.49
  6. Step 6: Final answer
    x = 5,475.00

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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.