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Finding the Fourth Proportional to 9,186.75, 12,677.73 and 5,208.23

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Solution

The fourth proportional to 9,186.75, 12,677.73 and 5,208.23 is: 7,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.75 : 12,677.73 = 5,208.23 : x
  2. Step 2: Convert to fraction form
    9,186.75/12,677.73 = 5,208.23/x
  3. Step 3: Cross multiply
    9,186.75x = 12,677.73 × 5,208.23
  4. Step 4: Simplify right side
    9,186.75x = 66,028,575.18
  5. Step 5: Solve for x
    x = 66,028,575.18/9,186.75
  6. Step 6: Final answer
    x = 7,187.37

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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.