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Finding the Fourth Proportional to 9,892.08, 13,644.77 and 6,906.83

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Solution

The fourth proportional to 9,892.08, 13,644.77 and 6,906.83 is: 9,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.08 : 13,644.77 = 6,906.83 : x
  2. Step 2: Convert to fraction form
    9,892.08/13,644.77 = 6,906.83/x
  3. Step 3: Cross multiply
    9,892.08x = 13,644.77 × 6,906.83
  4. Step 4: Simplify right side
    9,892.08x = 94,242,004.02
  5. Step 5: Solve for x
    x = 94,242,004.02/9,892.08
  6. Step 6: Final answer
    x = 9,527.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.