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Finding the Fourth Proportional to 6,359.81, 9,531.50 and 2,847.24

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Solution

The fourth proportional to 6,359.81, 9,531.50 and 2,847.24 is: 4,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.81 : 9,531.50 = 2,847.24 : x
  2. Step 2: Convert to fraction form
    6,359.81/9,531.50 = 2,847.24/x
  3. Step 3: Cross multiply
    6,359.81x = 9,531.50 × 2,847.24
  4. Step 4: Simplify right side
    6,359.81x = 27,138,453.82
  5. Step 5: Solve for x
    x = 27,138,453.82/6,359.81
  6. Step 6: Final answer
    x = 4,267.18

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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.