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Finding the Fourth Proportional to 6,172.83, 9,256.09 and 2,010.17

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Solution

The fourth proportional to 6,172.83, 9,256.09 and 2,010.17 is: 3,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.83 : 9,256.09 = 2,010.17 : x
  2. Step 2: Convert to fraction form
    6,172.83/9,256.09 = 2,010.17/x
  3. Step 3: Cross multiply
    6,172.83x = 9,256.09 × 2,010.17
  4. Step 4: Simplify right side
    6,172.83x = 18,606,273.18
  5. Step 5: Solve for x
    x = 18,606,273.18/6,172.83
  6. Step 6: Final answer
    x = 3,014.22

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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.