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Finding the Fourth Proportional to 9,961.51, 13,731.78 and 8,190.04

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Solution

The fourth proportional to 9,961.51, 13,731.78 and 8,190.04 is: 11,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.51 : 13,731.78 = 8,190.04 : x
  2. Step 2: Convert to fraction form
    9,961.51/13,731.78 = 8,190.04/x
  3. Step 3: Cross multiply
    9,961.51x = 13,731.78 × 8,190.04
  4. Step 4: Simplify right side
    9,961.51x = 112,463,827.47
  5. Step 5: Solve for x
    x = 112,463,827.47/9,961.51
  6. Step 6: Final answer
    x = 11,289.84

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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.