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Finding the Fourth Proportional to 6,283.98, 9,428.03 and 3,162.38

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Solution

The fourth proportional to 6,283.98, 9,428.03 and 3,162.38 is: 4,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.98 : 9,428.03 = 3,162.38 : x
  2. Step 2: Convert to fraction form
    6,283.98/9,428.03 = 3,162.38/x
  3. Step 3: Cross multiply
    6,283.98x = 9,428.03 × 3,162.38
  4. Step 4: Simplify right side
    6,283.98x = 29,814,950.56
  5. Step 5: Solve for x
    x = 29,814,950.56/6,283.98
  6. Step 6: Final answer
    x = 4,744.60

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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.