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Finding the Fourth Proportional to 6,172.43, 9,259.61 and 2,011.47

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Solution

The fourth proportional to 6,172.43, 9,259.61 and 2,011.47 is: 3,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.43 : 9,259.61 = 2,011.47 : x
  2. Step 2: Convert to fraction form
    6,172.43/9,259.61 = 2,011.47/x
  3. Step 3: Cross multiply
    6,172.43x = 9,259.61 × 2,011.47
  4. Step 4: Simplify right side
    6,172.43x = 18,625,459.94
  5. Step 5: Solve for x
    x = 18,625,459.94/6,172.43
  6. Step 6: Final answer
    x = 3,017.52

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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.