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Finding the Fourth Proportional to 9,796.23, 13,514.31 and 7,401.87

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Solution

The fourth proportional to 9,796.23, 13,514.31 and 7,401.87 is: 10,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.23 : 13,514.31 = 7,401.87 : x
  2. Step 2: Convert to fraction form
    9,796.23/13,514.31 = 7,401.87/x
  3. Step 3: Cross multiply
    9,796.23x = 13,514.31 × 7,401.87
  4. Step 4: Simplify right side
    9,796.23x = 100,031,165.76
  5. Step 5: Solve for x
    x = 100,031,165.76/9,796.23
  6. Step 6: Final answer
    x = 10,211.19

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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.