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Finding the Fourth Proportional to 7,171.26, 9,894.52 and 4,185.19

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Solution

The fourth proportional to 7,171.26, 9,894.52 and 4,185.19 is: 5,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.26 : 9,894.52 = 4,185.19 : x
  2. Step 2: Convert to fraction form
    7,171.26/9,894.52 = 4,185.19/x
  3. Step 3: Cross multiply
    7,171.26x = 9,894.52 × 4,185.19
  4. Step 4: Simplify right side
    7,171.26x = 41,410,446.16
  5. Step 5: Solve for x
    x = 41,410,446.16/7,171.26
  6. Step 6: Final answer
    x = 5,774.50

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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.