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Finding the Fourth Proportional to 6,954.16, 9,596.37 and 3,969.88

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Solution

The fourth proportional to 6,954.16, 9,596.37 and 3,969.88 is: 5,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.16 : 9,596.37 = 3,969.88 : x
  2. Step 2: Convert to fraction form
    6,954.16/9,596.37 = 3,969.88/x
  3. Step 3: Cross multiply
    6,954.16x = 9,596.37 × 3,969.88
  4. Step 4: Simplify right side
    6,954.16x = 38,096,437.34
  5. Step 5: Solve for x
    x = 38,096,437.34/6,954.16
  6. Step 6: Final answer
    x = 5,478.22

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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.