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Finding the Fourth Proportional to 7,147.37, 9,862.98 and 3,960.57

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Solution

The fourth proportional to 7,147.37, 9,862.98 and 3,960.57 is: 5,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.37 : 9,862.98 = 3,960.57 : x
  2. Step 2: Convert to fraction form
    7,147.37/9,862.98 = 3,960.57/x
  3. Step 3: Cross multiply
    7,147.37x = 9,862.98 × 3,960.57
  4. Step 4: Simplify right side
    7,147.37x = 39,063,022.70
  5. Step 5: Solve for x
    x = 39,063,022.70/7,147.37
  6. Step 6: Final answer
    x = 5,465.37

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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.