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Finding the Fourth Proportional to 9,896.09, 14,842.76 and 2,500.10

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Solution

The fourth proportional to 9,896.09, 14,842.76 and 2,500.10 is: 3,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.09 : 14,842.76 = 2,500.10 : x
  2. Step 2: Convert to fraction form
    9,896.09/14,842.76 = 2,500.10/x
  3. Step 3: Cross multiply
    9,896.09x = 14,842.76 × 2,500.10
  4. Step 4: Simplify right side
    9,896.09x = 37,108,297.56
  5. Step 5: Solve for x
    x = 37,108,297.56/9,896.09
  6. Step 6: Final answer
    x = 3,749.80

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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.