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Finding the Fourth Proportional to 6,113.94, 9,169.05 and 2,365.05

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Solution

The fourth proportional to 6,113.94, 9,169.05 and 2,365.05 is: 3,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.94 : 9,169.05 = 2,365.05 : x
  2. Step 2: Convert to fraction form
    6,113.94/9,169.05 = 2,365.05/x
  3. Step 3: Cross multiply
    6,113.94x = 9,169.05 × 2,365.05
  4. Step 4: Simplify right side
    6,113.94x = 21,685,215.86
  5. Step 5: Solve for x
    x = 21,685,215.86/6,113.94
  6. Step 6: Final answer
    x = 3,546.85

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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.