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Finding the Fourth Proportional to 10,427.31, 14,388.76 and 6,396.34

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Solution

The fourth proportional to 10,427.31, 14,388.76 and 6,396.34 is: 8,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.31 : 14,388.76 = 6,396.34 : x
  2. Step 2: Convert to fraction form
    10,427.31/14,388.76 = 6,396.34/x
  3. Step 3: Cross multiply
    10,427.31x = 14,388.76 × 6,396.34
  4. Step 4: Simplify right side
    10,427.31x = 92,035,401.14
  5. Step 5: Solve for x
    x = 92,035,401.14/10,427.31
  6. Step 6: Final answer
    x = 8,826.38

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Why These Related Problems?

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