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Finding the Fourth Proportional to 9,097.92, 13,646.31 and 3,174.39

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Solution

The fourth proportional to 9,097.92, 13,646.31 and 3,174.39 is: 4,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.92 : 13,646.31 = 3,174.39 : x
  2. Step 2: Convert to fraction form
    9,097.92/13,646.31 = 3,174.39/x
  3. Step 3: Cross multiply
    9,097.92x = 13,646.31 × 3,174.39
  4. Step 4: Simplify right side
    9,097.92x = 43,318,698.10
  5. Step 5: Solve for x
    x = 43,318,698.10/9,097.92
  6. Step 6: Final answer
    x = 4,761.38

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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.