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Finding the Fourth Proportional to 6,205.92, 9,309.12 and 1,588.92

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Solution

The fourth proportional to 6,205.92, 9,309.12 and 1,588.92 is: 2,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.92 : 9,309.12 = 1,588.92 : x
  2. Step 2: Convert to fraction form
    6,205.92/9,309.12 = 1,588.92/x
  3. Step 3: Cross multiply
    6,205.92x = 9,309.12 × 1,588.92
  4. Step 4: Simplify right side
    6,205.92x = 14,791,446.95
  5. Step 5: Solve for x
    x = 14,791,446.95/6,205.92
  6. Step 6: Final answer
    x = 2,383.44

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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.