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Finding the Fourth Proportional to 9,097.38, 13,647.29 and 3,175.47

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Solution

The fourth proportional to 9,097.38, 13,647.29 and 3,175.47 is: 4,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.38 : 13,647.29 = 3,175.47 : x
  2. Step 2: Convert to fraction form
    9,097.38/13,647.29 = 3,175.47/x
  3. Step 3: Cross multiply
    9,097.38x = 13,647.29 × 3,175.47
  4. Step 4: Simplify right side
    9,097.38x = 43,336,544.10
  5. Step 5: Solve for x
    x = 43,336,544.10/9,097.38
  6. Step 6: Final answer
    x = 4,763.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.