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Finding the Fourth Proportional to 9,714.78, 13,401.14 and 8,026.20

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Solution

The fourth proportional to 9,714.78, 13,401.14 and 8,026.20 is: 11,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.78 : 13,401.14 = 8,026.20 : x
  2. Step 2: Convert to fraction form
    9,714.78/13,401.14 = 8,026.20/x
  3. Step 3: Cross multiply
    9,714.78x = 13,401.14 × 8,026.20
  4. Step 4: Simplify right side
    9,714.78x = 107,560,229.87
  5. Step 5: Solve for x
    x = 107,560,229.87/9,714.78
  6. Step 6: Final answer
    x = 11,071.81

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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.