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Finding the Fourth Proportional to 6,853.10, 9,457.29 and 3,709.31

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Solution

The fourth proportional to 6,853.10, 9,457.29 and 3,709.31 is: 5,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.10 : 9,457.29 = 3,709.31 : x
  2. Step 2: Convert to fraction form
    6,853.10/9,457.29 = 3,709.31/x
  3. Step 3: Cross multiply
    6,853.10x = 9,457.29 × 3,709.31
  4. Step 4: Simplify right side
    6,853.10x = 35,079,973.08
  5. Step 5: Solve for x
    x = 35,079,973.08/6,853.10
  6. Step 6: Final answer
    x = 5,118.85

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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.