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Finding the Fourth Proportional to 6,194.13, 9,289.36 and 1,810.54

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Solution

The fourth proportional to 6,194.13, 9,289.36 and 1,810.54 is: 2,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.13 : 9,289.36 = 1,810.54 : x
  2. Step 2: Convert to fraction form
    6,194.13/9,289.36 = 1,810.54/x
  3. Step 3: Cross multiply
    6,194.13x = 9,289.36 × 1,810.54
  4. Step 4: Simplify right side
    6,194.13x = 16,818,757.85
  5. Step 5: Solve for x
    x = 16,818,757.85/6,194.13
  6. Step 6: Final answer
    x = 2,715.27

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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.