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Finding the Fourth Proportional to 7,017.75, 9,684.50 and 3,873.96

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Solution

The fourth proportional to 7,017.75, 9,684.50 and 3,873.96 is: 5,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.75 : 9,684.50 = 3,873.96 : x
  2. Step 2: Convert to fraction form
    7,017.75/9,684.50 = 3,873.96/x
  3. Step 3: Cross multiply
    7,017.75x = 9,684.50 × 3,873.96
  4. Step 4: Simplify right side
    7,017.75x = 37,517,346.25
  5. Step 5: Solve for x
    x = 37,517,346.25/7,017.75
  6. Step 6: Final answer
    x = 5,346.06

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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.