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Finding the Fourth Proportional to 6,960.60, 9,601.40 and 4,127.22

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Solution

The fourth proportional to 6,960.60, 9,601.40 and 4,127.22 is: 5,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.60 : 9,601.40 = 4,127.22 : x
  2. Step 2: Convert to fraction form
    6,960.60/9,601.40 = 4,127.22/x
  3. Step 3: Cross multiply
    6,960.60x = 9,601.40 × 4,127.22
  4. Step 4: Simplify right side
    6,960.60x = 39,627,100.43
  5. Step 5: Solve for x
    x = 39,627,100.43/6,960.60
  6. Step 6: Final answer
    x = 5,693.06

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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.