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Finding the Fourth Proportional to 9,314.25, 12,847.16 and 6,126.54

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Solution

The fourth proportional to 9,314.25, 12,847.16 and 6,126.54 is: 8,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.25 : 12,847.16 = 6,126.54 : x
  2. Step 2: Convert to fraction form
    9,314.25/12,847.16 = 6,126.54/x
  3. Step 3: Cross multiply
    9,314.25x = 12,847.16 × 6,126.54
  4. Step 4: Simplify right side
    9,314.25x = 78,708,608.99
  5. Step 5: Solve for x
    x = 78,708,608.99/9,314.25
  6. Step 6: Final answer
    x = 8,450.34

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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.