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Finding the Fourth Proportional to 6,329.42, 8,732.84 and 4,091.40

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Solution

The fourth proportional to 6,329.42, 8,732.84 and 4,091.40 is: 5,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.42 : 8,732.84 = 4,091.40 : x
  2. Step 2: Convert to fraction form
    6,329.42/8,732.84 = 4,091.40/x
  3. Step 3: Cross multiply
    6,329.42x = 8,732.84 × 4,091.40
  4. Step 4: Simplify right side
    6,329.42x = 35,729,541.58
  5. Step 5: Solve for x
    x = 35,729,541.58/6,329.42
  6. Step 6: Final answer
    x = 5,644.99

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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.