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Finding the Fourth Proportional to 9,896.34, 14,846.67 and 2,876.43

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Solution

The fourth proportional to 9,896.34, 14,846.67 and 2,876.43 is: 4,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.34 : 14,846.67 = 2,876.43 : x
  2. Step 2: Convert to fraction form
    9,896.34/14,846.67 = 2,876.43/x
  3. Step 3: Cross multiply
    9,896.34x = 14,846.67 × 2,876.43
  4. Step 4: Simplify right side
    9,896.34x = 42,705,406.99
  5. Step 5: Solve for x
    x = 42,705,406.99/9,896.34
  6. Step 6: Final answer
    x = 4,315.27

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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.