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Finding the Fourth Proportional to 10,278.90, 14,249.48 and 9,717.57

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Solution

The fourth proportional to 10,278.90, 14,249.48 and 9,717.57 is: 13,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.90 : 14,249.48 = 9,717.57 : x
  2. Step 2: Convert to fraction form
    10,278.90/14,249.48 = 9,717.57/x
  3. Step 3: Cross multiply
    10,278.90x = 14,249.48 × 9,717.57
  4. Step 4: Simplify right side
    10,278.90x = 138,470,270.78
  5. Step 5: Solve for x
    x = 138,470,270.78/10,278.90
  6. Step 6: Final answer
    x = 13,471.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.