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Finding the Fourth Proportional to 6,194.70, 9,285.77 and 3,717.92

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Solution

The fourth proportional to 6,194.70, 9,285.77 and 3,717.92 is: 5,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.70 : 9,285.77 = 3,717.92 : x
  2. Step 2: Convert to fraction form
    6,194.70/9,285.77 = 3,717.92/x
  3. Step 3: Cross multiply
    6,194.70x = 9,285.77 × 3,717.92
  4. Step 4: Simplify right side
    6,194.70x = 34,523,782.51
  5. Step 5: Solve for x
    x = 34,523,782.51/6,194.70
  6. Step 6: Final answer
    x = 5,573.12

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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.