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Finding the Fourth Proportional to 9,330.64, 13,997.24 and 4,136.40

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Solution

The fourth proportional to 9,330.64, 13,997.24 and 4,136.40 is: 6,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.64 : 13,997.24 = 4,136.40 : x
  2. Step 2: Convert to fraction form
    9,330.64/13,997.24 = 4,136.40/x
  3. Step 3: Cross multiply
    9,330.64x = 13,997.24 × 4,136.40
  4. Step 4: Simplify right side
    9,330.64x = 57,898,183.54
  5. Step 5: Solve for x
    x = 57,898,183.54/9,330.64
  6. Step 6: Final answer
    x = 6,205.17

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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.