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Finding the Fourth Proportional to 9,695.35, 13,380.85 and 5,917.73

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Solution

The fourth proportional to 9,695.35, 13,380.85 and 5,917.73 is: 8,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.35 : 13,380.85 = 5,917.73 : x
  2. Step 2: Convert to fraction form
    9,695.35/13,380.85 = 5,917.73/x
  3. Step 3: Cross multiply
    9,695.35x = 13,380.85 × 5,917.73
  4. Step 4: Simplify right side
    9,695.35x = 79,184,227.88
  5. Step 5: Solve for x
    x = 79,184,227.88/9,695.35
  6. Step 6: Final answer
    x = 8,167.24

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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.