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Finding the Fourth Proportional to 6,172.68, 9,259.74 and 2,012.52

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Solution

The fourth proportional to 6,172.68, 9,259.74 and 2,012.52 is: 3,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.68 : 9,259.74 = 2,012.52 : x
  2. Step 2: Convert to fraction form
    6,172.68/9,259.74 = 2,012.52/x
  3. Step 3: Cross multiply
    6,172.68x = 9,259.74 × 2,012.52
  4. Step 4: Simplify right side
    6,172.68x = 18,635,411.94
  5. Step 5: Solve for x
    x = 18,635,411.94/6,172.68
  6. Step 6: Final answer
    x = 3,019.01

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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.