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Finding the Fourth Proportional to 9,204.12, 13,793.76 and 6,601.32

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Solution

The fourth proportional to 9,204.12, 13,793.76 and 6,601.32 is: 9,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.12 : 13,793.76 = 6,601.32 : x
  2. Step 2: Convert to fraction form
    9,204.12/13,793.76 = 6,601.32/x
  3. Step 3: Cross multiply
    9,204.12x = 13,793.76 × 6,601.32
  4. Step 4: Simplify right side
    9,204.12x = 91,057,023.76
  5. Step 5: Solve for x
    x = 91,057,023.76/9,204.12
  6. Step 6: Final answer
    x = 9,893.07

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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.