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Finding the Fourth Proportional to 9,896.31, 14,840.84 and 2,874.42

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Solution

The fourth proportional to 9,896.31, 14,840.84 and 2,874.42 is: 4,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.31 : 14,840.84 = 2,874.42 : x
  2. Step 2: Convert to fraction form
    9,896.31/14,840.84 = 2,874.42/x
  3. Step 3: Cross multiply
    9,896.31x = 14,840.84 × 2,874.42
  4. Step 4: Simplify right side
    9,896.31x = 42,658,814.50
  5. Step 5: Solve for x
    x = 42,658,814.50/9,896.31
  6. Step 6: Final answer
    x = 4,310.58

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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.