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Finding the Fourth Proportional to 10,073.88, 13,906.53 and 6,892.29

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Solution

The fourth proportional to 10,073.88, 13,906.53 and 6,892.29 is: 9,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.88 : 13,906.53 = 6,892.29 : x
  2. Step 2: Convert to fraction form
    10,073.88/13,906.53 = 6,892.29/x
  3. Step 3: Cross multiply
    10,073.88x = 13,906.53 × 6,892.29
  4. Step 4: Simplify right side
    10,073.88x = 95,847,837.65
  5. Step 5: Solve for x
    x = 95,847,837.65/10,073.88
  6. Step 6: Final answer
    x = 9,514.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.