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Finding the Fourth Proportional to 7,241.75, 9,991.88 and 4,409.08

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Solution

The fourth proportional to 7,241.75, 9,991.88 and 4,409.08 is: 6,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.75 : 9,991.88 = 4,409.08 : x
  2. Step 2: Convert to fraction form
    7,241.75/9,991.88 = 4,409.08/x
  3. Step 3: Cross multiply
    7,241.75x = 9,991.88 × 4,409.08
  4. Step 4: Simplify right side
    7,241.75x = 44,054,951.25
  5. Step 5: Solve for x
    x = 44,054,951.25/7,241.75
  6. Step 6: Final answer
    x = 6,083.47

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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.