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Finding the Fourth Proportional to 9,674.28, 14,513.22 and 3,438

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Solution

The fourth proportional to 9,674.28, 14,513.22 and 3,438 is: 5,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.28 : 14,513.22 = 3,438 : x
  2. Step 2: Convert to fraction form
    9,674.28/14,513.22 = 3,438/x
  3. Step 3: Cross multiply
    9,674.28x = 14,513.22 × 3,438
  4. Step 4: Simplify right side
    9,674.28x = 49,896,450.36
  5. Step 5: Solve for x
    x = 49,896,450.36/9,674.28
  6. Step 6: Final answer
    x = 5,157.64

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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.