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Finding the Fourth Proportional to 9,896.73, 14,846.07 and 2,876.80

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Solution

The fourth proportional to 9,896.73, 14,846.07 and 2,876.80 is: 4,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.73 : 14,846.07 = 2,876.80 : x
  2. Step 2: Convert to fraction form
    9,896.73/14,846.07 = 2,876.80/x
  3. Step 3: Cross multiply
    9,896.73x = 14,846.07 × 2,876.80
  4. Step 4: Simplify right side
    9,896.73x = 42,709,159.50
  5. Step 5: Solve for x
    x = 42,709,159.50/9,896.73
  6. Step 6: Final answer
    x = 4,315.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.