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Finding the Fourth Proportional to 9,189.92, 12,682.36 and 5,210.92

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Solution

The fourth proportional to 9,189.92, 12,682.36 and 5,210.92 is: 7,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.92 : 12,682.36 = 5,210.92 : x
  2. Step 2: Convert to fraction form
    9,189.92/12,682.36 = 5,210.92/x
  3. Step 3: Cross multiply
    9,189.92x = 12,682.36 × 5,210.92
  4. Step 4: Simplify right side
    9,189.92x = 66,086,763.37
  5. Step 5: Solve for x
    x = 66,086,763.37/9,189.92
  6. Step 6: Final answer
    x = 7,191.22

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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.