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Finding the Fourth Proportional to 9,896.49, 14,844.36 and 2,500.86

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Solution

The fourth proportional to 9,896.49, 14,844.36 and 2,500.86 is: 3,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.49 : 14,844.36 = 2,500.86 : x
  2. Step 2: Convert to fraction form
    9,896.49/14,844.36 = 2,500.86/x
  3. Step 3: Cross multiply
    9,896.49x = 14,844.36 × 2,500.86
  4. Step 4: Simplify right side
    9,896.49x = 37,123,666.15
  5. Step 5: Solve for x
    x = 37,123,666.15/9,896.49
  6. Step 6: Final answer
    x = 3,751.20

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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.