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Finding the Fourth Proportional to 6,172.94, 9,259.71 and 2,012.95

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Solution

The fourth proportional to 6,172.94, 9,259.71 and 2,012.95 is: 3,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.94 : 9,259.71 = 2,012.95 : x
  2. Step 2: Convert to fraction form
    6,172.94/9,259.71 = 2,012.95/x
  3. Step 3: Cross multiply
    6,172.94x = 9,259.71 × 2,012.95
  4. Step 4: Simplify right side
    6,172.94x = 18,639,296.51
  5. Step 5: Solve for x
    x = 18,639,296.51/6,172.94
  6. Step 6: Final answer
    x = 3,019.52

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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.