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Finding the Fourth Proportional to 6,588.92, 9,881.95 and 2,086.33

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Solution

The fourth proportional to 6,588.92, 9,881.95 and 2,086.33 is: 3,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.92 : 9,881.95 = 2,086.33 : x
  2. Step 2: Convert to fraction form
    6,588.92/9,881.95 = 2,086.33/x
  3. Step 3: Cross multiply
    6,588.92x = 9,881.95 × 2,086.33
  4. Step 4: Simplify right side
    6,588.92x = 20,616,974.91
  5. Step 5: Solve for x
    x = 20,616,974.91/6,588.92
  6. Step 6: Final answer
    x = 3,129.04

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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.