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Finding the Fourth Proportional to 7,113.25, 9,816.29 and 3,969.46

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Solution

The fourth proportional to 7,113.25, 9,816.29 and 3,969.46 is: 5,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.25 : 9,816.29 = 3,969.46 : x
  2. Step 2: Convert to fraction form
    7,113.25/9,816.29 = 3,969.46/x
  3. Step 3: Cross multiply
    7,113.25x = 9,816.29 × 3,969.46
  4. Step 4: Simplify right side
    7,113.25x = 38,965,370.50
  5. Step 5: Solve for x
    x = 38,965,370.50/7,113.25
  6. Step 6: Final answer
    x = 5,477.86

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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.