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Finding the Fourth Proportional to 6,109.74, 8,431.56 and 3,457.26

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Solution

The fourth proportional to 6,109.74, 8,431.56 and 3,457.26 is: 4,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.74 : 8,431.56 = 3,457.26 : x
  2. Step 2: Convert to fraction form
    6,109.74/8,431.56 = 3,457.26/x
  3. Step 3: Cross multiply
    6,109.74x = 8,431.56 × 3,457.26
  4. Step 4: Simplify right side
    6,109.74x = 29,150,095.13
  5. Step 5: Solve for x
    x = 29,150,095.13/6,109.74
  6. Step 6: Final answer
    x = 4,771.09

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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.