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Finding the Fourth Proportional to 6,953.92, 9,596.34 and 3,969.54

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Solution

The fourth proportional to 6,953.92, 9,596.34 and 3,969.54 is: 5,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.92 : 9,596.34 = 3,969.54 : x
  2. Step 2: Convert to fraction form
    6,953.92/9,596.34 = 3,969.54/x
  3. Step 3: Cross multiply
    6,953.92x = 9,596.34 × 3,969.54
  4. Step 4: Simplify right side
    6,953.92x = 38,093,055.48
  5. Step 5: Solve for x
    x = 38,093,055.48/6,953.92
  6. Step 6: Final answer
    x = 5,477.93

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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.