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Finding the Fourth Proportional to 6,173.12, 9,259.77 and 2,013.11

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Solution

The fourth proportional to 6,173.12, 9,259.77 and 2,013.11 is: 3,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.12 : 9,259.77 = 2,013.11 : x
  2. Step 2: Convert to fraction form
    6,173.12/9,259.77 = 2,013.11/x
  3. Step 3: Cross multiply
    6,173.12x = 9,259.77 × 2,013.11
  4. Step 4: Simplify right side
    6,173.12x = 18,640,889.29
  5. Step 5: Solve for x
    x = 18,640,889.29/6,173.12
  6. Step 6: Final answer
    x = 3,019.69

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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.