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Finding the Fourth Proportional to 9,186.01, 12,679.57 and 5,209.75

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Solution

The fourth proportional to 9,186.01, 12,679.57 and 5,209.75 is: 7,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.01 : 12,679.57 = 5,209.75 : x
  2. Step 2: Convert to fraction form
    9,186.01/12,679.57 = 5,209.75/x
  3. Step 3: Cross multiply
    9,186.01x = 12,679.57 × 5,209.75
  4. Step 4: Simplify right side
    9,186.01x = 66,057,412.17
  5. Step 5: Solve for x
    x = 66,057,412.17/9,186.01
  6. Step 6: Final answer
    x = 7,191.09

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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.