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Finding the Fourth Proportional to 6,172.11, 9,259.13 and 2,011.16

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Solution

The fourth proportional to 6,172.11, 9,259.13 and 2,011.16 is: 3,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.11 : 9,259.13 = 2,011.16 : x
  2. Step 2: Convert to fraction form
    6,172.11/9,259.13 = 2,011.16/x
  3. Step 3: Cross multiply
    6,172.11x = 9,259.13 × 2,011.16
  4. Step 4: Simplify right side
    6,172.11x = 18,621,545.60
  5. Step 5: Solve for x
    x = 18,621,545.60/6,172.11
  6. Step 6: Final answer
    x = 3,017.05

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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.