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Finding the Fourth Proportional to 6,385.94, 9,578.52 and 2,382.56

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Solution

The fourth proportional to 6,385.94, 9,578.52 and 2,382.56 is: 3,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.94 : 9,578.52 = 2,382.56 : x
  2. Step 2: Convert to fraction form
    6,385.94/9,578.52 = 2,382.56/x
  3. Step 3: Cross multiply
    6,385.94x = 9,578.52 × 2,382.56
  4. Step 4: Simplify right side
    6,385.94x = 22,821,366.40
  5. Step 5: Solve for x
    x = 22,821,366.40/6,385.94
  6. Step 6: Final answer
    x = 3,573.69

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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.