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Finding the Fourth Proportional to 9,966.86, 13,739.24 and 8,195.39

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Solution

The fourth proportional to 9,966.86, 13,739.24 and 8,195.39 is: 11,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.86 : 13,739.24 = 8,195.39 : x
  2. Step 2: Convert to fraction form
    9,966.86/13,739.24 = 8,195.39/x
  3. Step 3: Cross multiply
    9,966.86x = 13,739.24 × 8,195.39
  4. Step 4: Simplify right side
    9,966.86x = 112,598,320.43
  5. Step 5: Solve for x
    x = 112,598,320.43/9,966.86
  6. Step 6: Final answer
    x = 11,297.28

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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.