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Finding the Fourth Proportional to 6,309.70, 9,456.45 and 3,015.70

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Solution

The fourth proportional to 6,309.70, 9,456.45 and 3,015.70 is: 4,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.70 : 9,456.45 = 3,015.70 : x
  2. Step 2: Convert to fraction form
    6,309.70/9,456.45 = 3,015.70/x
  3. Step 3: Cross multiply
    6,309.70x = 9,456.45 × 3,015.70
  4. Step 4: Simplify right side
    6,309.70x = 28,517,816.27
  5. Step 5: Solve for x
    x = 28,517,816.27/6,309.70
  6. Step 6: Final answer
    x = 4,519.68

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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.