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Finding the Fourth Proportional to 9,431.92, 14,128.02 and 4,496.56

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Solution

The fourth proportional to 9,431.92, 14,128.02 and 4,496.56 is: 6,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.92 : 14,128.02 = 4,496.56 : x
  2. Step 2: Convert to fraction form
    9,431.92/14,128.02 = 4,496.56/x
  3. Step 3: Cross multiply
    9,431.92x = 14,128.02 × 4,496.56
  4. Step 4: Simplify right side
    9,431.92x = 63,527,489.61
  5. Step 5: Solve for x
    x = 63,527,489.61/9,431.92
  6. Step 6: Final answer
    x = 6,735.37

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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.