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Finding the Fourth Proportional to 6,578.94, 9,783.81 and 6,371.28

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Solution

The fourth proportional to 6,578.94, 9,783.81 and 6,371.28 is: 9,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.94 : 9,783.81 = 6,371.28 : x
  2. Step 2: Convert to fraction form
    6,578.94/9,783.81 = 6,371.28/x
  3. Step 3: Cross multiply
    6,578.94x = 9,783.81 × 6,371.28
  4. Step 4: Simplify right side
    6,578.94x = 62,335,392.98
  5. Step 5: Solve for x
    x = 62,335,392.98/6,578.94
  6. Step 6: Final answer
    x = 9,474.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.