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Finding the Fourth Proportional to 6,954.24, 9,596.88 and 3,810.48

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Solution

The fourth proportional to 6,954.24, 9,596.88 and 3,810.48 is: 5,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.24 : 9,596.88 = 3,810.48 : x
  2. Step 2: Convert to fraction form
    6,954.24/9,596.88 = 3,810.48/x
  3. Step 3: Cross multiply
    6,954.24x = 9,596.88 × 3,810.48
  4. Step 4: Simplify right side
    6,954.24x = 36,568,719.30
  5. Step 5: Solve for x
    x = 36,568,719.30/6,954.24
  6. Step 6: Final answer
    x = 5,258.48

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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.