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Finding the Fourth Proportional to 6,853.28, 9,457.52 and 3,709.46

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Solution

The fourth proportional to 6,853.28, 9,457.52 and 3,709.46 is: 5,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.28 : 9,457.52 = 3,709.46 : x
  2. Step 2: Convert to fraction form
    6,853.28/9,457.52 = 3,709.46/x
  3. Step 3: Cross multiply
    6,853.28x = 9,457.52 × 3,709.46
  4. Step 4: Simplify right side
    6,853.28x = 35,082,297.24
  5. Step 5: Solve for x
    x = 35,082,297.24/6,853.28
  6. Step 6: Final answer
    x = 5,119.06

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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.