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Finding the Fourth Proportional to 9,091.95, 12,546.43 and 5,112.82

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Solution

The fourth proportional to 9,091.95, 12,546.43 and 5,112.82 is: 7,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.95 : 12,546.43 = 5,112.82 : x
  2. Step 2: Convert to fraction form
    9,091.95/12,546.43 = 5,112.82/x
  3. Step 3: Cross multiply
    9,091.95x = 12,546.43 × 5,112.82
  4. Step 4: Simplify right side
    9,091.95x = 64,147,641.13
  5. Step 5: Solve for x
    x = 64,147,641.13/9,091.95
  6. Step 6: Final answer
    x = 7,055.44

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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.