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Finding the Fourth Proportional to 7,081.72, 9,773.96 and 4,097.04

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Solution

The fourth proportional to 7,081.72, 9,773.96 and 4,097.04 is: 5,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.72 : 9,773.96 = 4,097.04 : x
  2. Step 2: Convert to fraction form
    7,081.72/9,773.96 = 4,097.04/x
  3. Step 3: Cross multiply
    7,081.72x = 9,773.96 × 4,097.04
  4. Step 4: Simplify right side
    7,081.72x = 40,044,305.08
  5. Step 5: Solve for x
    x = 40,044,305.08/7,081.72
  6. Step 6: Final answer
    x = 5,654.60

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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.