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Finding the Fourth Proportional to 9,189.77, 12,677.91 and 7,192.31

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Solution

The fourth proportional to 9,189.77, 12,677.91 and 7,192.31 is: 9,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.77 : 12,677.91 = 7,192.31 : x
  2. Step 2: Convert to fraction form
    9,189.77/12,677.91 = 7,192.31/x
  3. Step 3: Cross multiply
    9,189.77x = 12,677.91 × 7,192.31
  4. Step 4: Simplify right side
    9,189.77x = 91,183,395.48
  5. Step 5: Solve for x
    x = 91,183,395.48/9,189.77
  6. Step 6: Final answer
    x = 9,922.28

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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.