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Finding the Fourth Proportional to 6,798.29, 9,382.28 and 3,965.45

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Solution

The fourth proportional to 6,798.29, 9,382.28 and 3,965.45 is: 5,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.29 : 9,382.28 = 3,965.45 : x
  2. Step 2: Convert to fraction form
    6,798.29/9,382.28 = 3,965.45/x
  3. Step 3: Cross multiply
    6,798.29x = 9,382.28 × 3,965.45
  4. Step 4: Simplify right side
    6,798.29x = 37,204,895.49
  5. Step 5: Solve for x
    x = 37,204,895.49/6,798.29
  6. Step 6: Final answer
    x = 5,472.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.