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Finding the Fourth Proportional to 6,299.48, 9,451.04 and 3,012.68

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Solution

The fourth proportional to 6,299.48, 9,451.04 and 3,012.68 is: 4,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.48 : 9,451.04 = 3,012.68 : x
  2. Step 2: Convert to fraction form
    6,299.48/9,451.04 = 3,012.68/x
  3. Step 3: Cross multiply
    6,299.48x = 9,451.04 × 3,012.68
  4. Step 4: Simplify right side
    6,299.48x = 28,472,959.19
  5. Step 5: Solve for x
    x = 28,472,959.19/6,299.48
  6. Step 6: Final answer
    x = 4,519.89

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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.