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Finding the Fourth Proportional to 7,113.20, 9,816 and 3,969.92

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Solution

The fourth proportional to 7,113.20, 9,816 and 3,969.92 is: 5,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.20 : 9,816 = 3,969.92 : x
  2. Step 2: Convert to fraction form
    7,113.20/9,816 = 3,969.92/x
  3. Step 3: Cross multiply
    7,113.20x = 9,816 × 3,969.92
  4. Step 4: Simplify right side
    7,113.20x = 38,968,734.72
  5. Step 5: Solve for x
    x = 38,968,734.72/7,113.20
  6. Step 6: Final answer
    x = 5,478.37

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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.