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Finding the Fourth Proportional to 6,853.42, 9,457.68 and 3,709.54

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Solution

The fourth proportional to 6,853.42, 9,457.68 and 3,709.54 is: 5,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.42 : 9,457.68 = 3,709.54 : x
  2. Step 2: Convert to fraction form
    6,853.42/9,457.68 = 3,709.54/x
  3. Step 3: Cross multiply
    6,853.42x = 9,457.68 × 3,709.54
  4. Step 4: Simplify right side
    6,853.42x = 35,083,642.27
  5. Step 5: Solve for x
    x = 35,083,642.27/6,853.42
  6. Step 6: Final answer
    x = 5,119.14

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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.