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Finding the Fourth Proportional to 6,957.37, 9,601.56 and 4,126.42

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Solution

The fourth proportional to 6,957.37, 9,601.56 and 4,126.42 is: 5,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.37 : 9,601.56 = 4,126.42 : x
  2. Step 2: Convert to fraction form
    6,957.37/9,601.56 = 4,126.42/x
  3. Step 3: Cross multiply
    6,957.37x = 9,601.56 × 4,126.42
  4. Step 4: Simplify right side
    6,957.37x = 39,620,045.21
  5. Step 5: Solve for x
    x = 39,620,045.21/6,957.37
  6. Step 6: Final answer
    x = 5,694.69

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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.