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Finding the Fourth Proportional to 6,958.37, 9,602.94 and 4,127.42

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Solution

The fourth proportional to 6,958.37, 9,602.94 and 4,127.42 is: 5,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.37 : 9,602.94 = 4,127.42 : x
  2. Step 2: Convert to fraction form
    6,958.37/9,602.94 = 4,127.42/x
  3. Step 3: Cross multiply
    6,958.37x = 9,602.94 × 4,127.42
  4. Step 4: Simplify right side
    6,958.37x = 39,635,366.61
  5. Step 5: Solve for x
    x = 39,635,366.61/6,958.37
  6. Step 6: Final answer
    x = 5,696.07

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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.