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Finding the Fourth Proportional to 6,853.44, 9,457.68 and 3,709.56

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Solution

The fourth proportional to 6,853.44, 9,457.68 and 3,709.56 is: 5,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.44 : 9,457.68 = 3,709.56 : x
  2. Step 2: Convert to fraction form
    6,853.44/9,457.68 = 3,709.56/x
  3. Step 3: Cross multiply
    6,853.44x = 9,457.68 × 3,709.56
  4. Step 4: Simplify right side
    6,853.44x = 35,083,831.42
  5. Step 5: Solve for x
    x = 35,083,831.42/6,853.44
  6. Step 6: Final answer
    x = 5,119.16

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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.