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Finding the Fourth Proportional to 6,100.29, 9,149.31 and 2,152.08

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Solution

The fourth proportional to 6,100.29, 9,149.31 and 2,152.08 is: 3,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.29 : 9,149.31 = 2,152.08 : x
  2. Step 2: Convert to fraction form
    6,100.29/9,149.31 = 2,152.08/x
  3. Step 3: Cross multiply
    6,100.29x = 9,149.31 × 2,152.08
  4. Step 4: Simplify right side
    6,100.29x = 19,690,047.06
  5. Step 5: Solve for x
    x = 19,690,047.06/6,100.29
  6. Step 6: Final answer
    x = 3,227.72

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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.