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Finding the Fourth Proportional to 6,295.99, 9,444.53 and 3,011.71

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Solution

The fourth proportional to 6,295.99, 9,444.53 and 3,011.71 is: 4,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.99 : 9,444.53 = 3,011.71 : x
  2. Step 2: Convert to fraction form
    6,295.99/9,444.53 = 3,011.71/x
  3. Step 3: Cross multiply
    6,295.99x = 9,444.53 × 3,011.71
  4. Step 4: Simplify right side
    6,295.99x = 28,444,185.45
  5. Step 5: Solve for x
    x = 28,444,185.45/6,295.99
  6. Step 6: Final answer
    x = 4,517.83

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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.