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Finding the Fourth Proportional to 9,314.96, 14,027.90 and 8,401.04

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Solution

The fourth proportional to 9,314.96, 14,027.90 and 8,401.04 is: 12,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.96 : 14,027.90 = 8,401.04 : x
  2. Step 2: Convert to fraction form
    9,314.96/14,027.90 = 8,401.04/x
  3. Step 3: Cross multiply
    9,314.96x = 14,027.90 × 8,401.04
  4. Step 4: Simplify right side
    9,314.96x = 117,848,949.02
  5. Step 5: Solve for x
    x = 117,848,949.02/9,314.96
  6. Step 6: Final answer
    x = 12,651.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.