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Finding the Fourth Proportional to 6,428.49, 9,625.71 and 5,257.23

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Solution

The fourth proportional to 6,428.49, 9,625.71 and 5,257.23 is: 7,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.49 : 9,625.71 = 5,257.23 : x
  2. Step 2: Convert to fraction form
    6,428.49/9,625.71 = 5,257.23/x
  3. Step 3: Cross multiply
    6,428.49x = 9,625.71 × 5,257.23
  4. Step 4: Simplify right side
    6,428.49x = 50,604,571.38
  5. Step 5: Solve for x
    x = 50,604,571.38/6,428.49
  6. Step 6: Final answer
    x = 7,871.92

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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.