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Finding the Fourth Proportional to 7,185.49, 9,914.48 and 4,200.73

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Solution

The fourth proportional to 7,185.49, 9,914.48 and 4,200.73 is: 5,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.49 : 9,914.48 = 4,200.73 : x
  2. Step 2: Convert to fraction form
    7,185.49/9,914.48 = 4,200.73/x
  3. Step 3: Cross multiply
    7,185.49x = 9,914.48 × 4,200.73
  4. Step 4: Simplify right side
    7,185.49x = 41,648,053.57
  5. Step 5: Solve for x
    x = 41,648,053.57/7,185.49
  6. Step 6: Final answer
    x = 5,796.13

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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.