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Finding the Fourth Proportional to 7,113.75, 9,816.98 and 3,969.96

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Solution

The fourth proportional to 7,113.75, 9,816.98 and 3,969.96 is: 5,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.75 : 9,816.98 = 3,969.96 : x
  2. Step 2: Convert to fraction form
    7,113.75/9,816.98 = 3,969.96/x
  3. Step 3: Cross multiply
    7,113.75x = 9,816.98 × 3,969.96
  4. Step 4: Simplify right side
    7,113.75x = 38,972,998.07
  5. Step 5: Solve for x
    x = 38,972,998.07/7,113.75
  6. Step 6: Final answer
    x = 5,478.54

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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.