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Finding the Fourth Proportional to 7,113.27, 9,815.71 and 3,969.25

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Solution

The fourth proportional to 7,113.27, 9,815.71 and 3,969.25 is: 5,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.27 : 9,815.71 = 3,969.25 : x
  2. Step 2: Convert to fraction form
    7,113.27/9,815.71 = 3,969.25/x
  3. Step 3: Cross multiply
    7,113.27x = 9,815.71 × 3,969.25
  4. Step 4: Simplify right side
    7,113.27x = 38,961,006.92
  5. Step 5: Solve for x
    x = 38,961,006.92/7,113.27
  6. Step 6: Final answer
    x = 5,477.23

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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.