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Finding the Fourth Proportional to 6,085.96, 9,129.98 and 2,190.76

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Solution

The fourth proportional to 6,085.96, 9,129.98 and 2,190.76 is: 3,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.96 : 9,129.98 = 2,190.76 : x
  2. Step 2: Convert to fraction form
    6,085.96/9,129.98 = 2,190.76/x
  3. Step 3: Cross multiply
    6,085.96x = 9,129.98 × 2,190.76
  4. Step 4: Simplify right side
    6,085.96x = 20,001,594.98
  5. Step 5: Solve for x
    x = 20,001,594.98/6,085.96
  6. Step 6: Final answer
    x = 3,286.51

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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.