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Finding the Fourth Proportional to 6,853.06, 9,457.23 and 3,709.24

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Solution

The fourth proportional to 6,853.06, 9,457.23 and 3,709.24 is: 5,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.06 : 9,457.23 = 3,709.24 : x
  2. Step 2: Convert to fraction form
    6,853.06/9,457.23 = 3,709.24/x
  3. Step 3: Cross multiply
    6,853.06x = 9,457.23 × 3,709.24
  4. Step 4: Simplify right side
    6,853.06x = 35,079,135.81
  5. Step 5: Solve for x
    x = 35,079,135.81/6,853.06
  6. Step 6: Final answer
    x = 5,118.76

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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.