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Finding the Fourth Proportional to 9,337.32, 13,997.34 and 3,177

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Solution

The fourth proportional to 9,337.32, 13,997.34 and 3,177 is: 4,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.32 : 13,997.34 = 3,177 : x
  2. Step 2: Convert to fraction form
    9,337.32/13,997.34 = 3,177/x
  3. Step 3: Cross multiply
    9,337.32x = 13,997.34 × 3,177
  4. Step 4: Simplify right side
    9,337.32x = 44,469,549.18
  5. Step 5: Solve for x
    x = 44,469,549.18/9,337.32
  6. Step 6: Final answer
    x = 4,762.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.