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Finding the Fourth Proportional to 9,896.67, 14,832.30 and 4,046.31

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Solution

The fourth proportional to 9,896.67, 14,832.30 and 4,046.31 is: 6,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.67 : 14,832.30 = 4,046.31 : x
  2. Step 2: Convert to fraction form
    9,896.67/14,832.30 = 4,046.31/x
  3. Step 3: Cross multiply
    9,896.67x = 14,832.30 × 4,046.31
  4. Step 4: Simplify right side
    9,896.67x = 60,016,083.81
  5. Step 5: Solve for x
    x = 60,016,083.81/9,896.67
  6. Step 6: Final answer
    x = 6,064.27

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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.