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Finding the Fourth Proportional to 9,494.02, 13,108.62 and 6,138.73

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Solution

The fourth proportional to 9,494.02, 13,108.62 and 6,138.73 is: 8,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.02 : 13,108.62 = 6,138.73 : x
  2. Step 2: Convert to fraction form
    9,494.02/13,108.62 = 6,138.73/x
  3. Step 3: Cross multiply
    9,494.02x = 13,108.62 × 6,138.73
  4. Step 4: Simplify right side
    9,494.02x = 80,470,278.85
  5. Step 5: Solve for x
    x = 80,470,278.85/9,494.02
  6. Step 6: Final answer
    x = 8,475.89

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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.