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Finding the Fourth Proportional to 9,380.96, 12,944.45 and 5,348.30

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Solution

The fourth proportional to 9,380.96, 12,944.45 and 5,348.30 is: 7,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.96 : 12,944.45 = 5,348.30 : x
  2. Step 2: Convert to fraction form
    9,380.96/12,944.45 = 5,348.30/x
  3. Step 3: Cross multiply
    9,380.96x = 12,944.45 × 5,348.30
  4. Step 4: Simplify right side
    9,380.96x = 69,230,849.77
  5. Step 5: Solve for x
    x = 69,230,849.77/9,380.96
  6. Step 6: Final answer
    x = 7,379.94

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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.