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Finding the Fourth Proportional to 6,085.74, 9,110.81 and 5,502.09

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Solution

The fourth proportional to 6,085.74, 9,110.81 and 5,502.09 is: 8,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.74 : 9,110.81 = 5,502.09 : x
  2. Step 2: Convert to fraction form
    6,085.74/9,110.81 = 5,502.09/x
  3. Step 3: Cross multiply
    6,085.74x = 9,110.81 × 5,502.09
  4. Step 4: Simplify right side
    6,085.74x = 50,128,496.59
  5. Step 5: Solve for x
    x = 50,128,496.59/6,085.74
  6. Step 6: Final answer
    x = 8,237.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.