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Finding the Fourth Proportional to 9,380.82, 12,945.36 and 5,189.08

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Solution

The fourth proportional to 9,380.82, 12,945.36 and 5,189.08 is: 7,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.82 : 12,945.36 = 5,189.08 : x
  2. Step 2: Convert to fraction form
    9,380.82/12,945.36 = 5,189.08/x
  3. Step 3: Cross multiply
    9,380.82x = 12,945.36 × 5,189.08
  4. Step 4: Simplify right side
    9,380.82x = 67,174,508.67
  5. Step 5: Solve for x
    x = 67,174,508.67/9,380.82
  6. Step 6: Final answer
    x = 7,160.84

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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.