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Finding the Fourth Proportional to 9,837.50, 14,759.14 and 2,912.18

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Solution

The fourth proportional to 9,837.50, 14,759.14 and 2,912.18 is: 4,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.50 : 14,759.14 = 2,912.18 : x
  2. Step 2: Convert to fraction form
    9,837.50/14,759.14 = 2,912.18/x
  3. Step 3: Cross multiply
    9,837.50x = 14,759.14 × 2,912.18
  4. Step 4: Simplify right side
    9,837.50x = 42,981,272.33
  5. Step 5: Solve for x
    x = 42,981,272.33/9,837.50
  6. Step 6: Final answer
    x = 4,369.13

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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.