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Finding the Fourth Proportional to 9,188.96, 12,680.37 and 5,210.33

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Solution

The fourth proportional to 9,188.96, 12,680.37 and 5,210.33 is: 7,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.96 : 12,680.37 = 5,210.33 : x
  2. Step 2: Convert to fraction form
    9,188.96/12,680.37 = 5,210.33/x
  3. Step 3: Cross multiply
    9,188.96x = 12,680.37 × 5,210.33
  4. Step 4: Simplify right side
    9,188.96x = 66,068,943.92
  5. Step 5: Solve for x
    x = 66,068,943.92/9,188.96
  6. Step 6: Final answer
    x = 7,190.04

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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.