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Finding the Fourth Proportional to 6,769.64, 9,336.96 and 5,827.04

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Solution

The fourth proportional to 6,769.64, 9,336.96 and 5,827.04 is: 8,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.64 : 9,336.96 = 5,827.04 : x
  2. Step 2: Convert to fraction form
    6,769.64/9,336.96 = 5,827.04/x
  3. Step 3: Cross multiply
    6,769.64x = 9,336.96 × 5,827.04
  4. Step 4: Simplify right side
    6,769.64x = 54,406,839.40
  5. Step 5: Solve for x
    x = 54,406,839.40/6,769.64
  6. Step 6: Final answer
    x = 8,036.89

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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.