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Finding the Fourth Proportional to 6,764.31, 9,329.58 and 5,821.65

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Solution

The fourth proportional to 6,764.31, 9,329.58 and 5,821.65 is: 8,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.31 : 9,329.58 = 5,821.65 : x
  2. Step 2: Convert to fraction form
    6,764.31/9,329.58 = 5,821.65/x
  3. Step 3: Cross multiply
    6,764.31x = 9,329.58 × 5,821.65
  4. Step 4: Simplify right side
    6,764.31x = 54,313,549.41
  5. Step 5: Solve for x
    x = 54,313,549.41/6,764.31
  6. Step 6: Final answer
    x = 8,029.43

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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.