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Finding the Fourth Proportional to 6,295.84, 9,436.38 and 2,596.24

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Solution

The fourth proportional to 6,295.84, 9,436.38 and 2,596.24 is: 3,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.84 : 9,436.38 = 2,596.24 : x
  2. Step 2: Convert to fraction form
    6,295.84/9,436.38 = 2,596.24/x
  3. Step 3: Cross multiply
    6,295.84x = 9,436.38 × 2,596.24
  4. Step 4: Simplify right side
    6,295.84x = 24,499,107.21
  5. Step 5: Solve for x
    x = 24,499,107.21/6,295.84
  6. Step 6: Final answer
    x = 3,891.32

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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.