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Finding the Fourth Proportional to 6,172.71, 9,259.58 and 2,012.63

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Solution

The fourth proportional to 6,172.71, 9,259.58 and 2,012.63 is: 3,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.71 : 9,259.58 = 2,012.63 : x
  2. Step 2: Convert to fraction form
    6,172.71/9,259.58 = 2,012.63/x
  3. Step 3: Cross multiply
    6,172.71x = 9,259.58 × 2,012.63
  4. Step 4: Simplify right side
    6,172.71x = 18,636,052.13
  5. Step 5: Solve for x
    x = 18,636,052.13/6,172.71
  6. Step 6: Final answer
    x = 3,019.10

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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.