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Finding the Fourth Proportional to 6,187.59, 9,283.30 and 2,027.63

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Solution

The fourth proportional to 6,187.59, 9,283.30 and 2,027.63 is: 3,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.59 : 9,283.30 = 2,027.63 : x
  2. Step 2: Convert to fraction form
    6,187.59/9,283.30 = 2,027.63/x
  3. Step 3: Cross multiply
    6,187.59x = 9,283.30 × 2,027.63
  4. Step 4: Simplify right side
    6,187.59x = 18,823,051.16
  5. Step 5: Solve for x
    x = 18,823,051.16/6,187.59
  6. Step 6: Final answer
    x = 3,042.07

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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.