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Finding the Fourth Proportional to 9,310.14, 12,849.03 and 5,118.30

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Solution

The fourth proportional to 9,310.14, 12,849.03 and 5,118.30 is: 7,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.14 : 12,849.03 = 5,118.30 : x
  2. Step 2: Convert to fraction form
    9,310.14/12,849.03 = 5,118.30/x
  3. Step 3: Cross multiply
    9,310.14x = 12,849.03 × 5,118.30
  4. Step 4: Simplify right side
    9,310.14x = 65,765,190.25
  5. Step 5: Solve for x
    x = 65,765,190.25/9,310.14
  6. Step 6: Final answer
    x = 7,063.82

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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.