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Finding the Fourth Proportional to 7,097.58, 9,791.72 and 4,225.72

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Solution

The fourth proportional to 7,097.58, 9,791.72 and 4,225.72 is: 5,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.58 : 9,791.72 = 4,225.72 : x
  2. Step 2: Convert to fraction form
    7,097.58/9,791.72 = 4,225.72/x
  3. Step 3: Cross multiply
    7,097.58x = 9,791.72 × 4,225.72
  4. Step 4: Simplify right side
    7,097.58x = 41,377,067.04
  5. Step 5: Solve for x
    x = 41,377,067.04/7,097.58
  6. Step 6: Final answer
    x = 5,829.74

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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.