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Finding the Fourth Proportional to 9,188.92, 12,680.70 and 4,997.14

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Solution

The fourth proportional to 9,188.92, 12,680.70 and 4,997.14 is: 6,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.92 : 12,680.70 = 4,997.14 : x
  2. Step 2: Convert to fraction form
    9,188.92/12,680.70 = 4,997.14/x
  3. Step 3: Cross multiply
    9,188.92x = 12,680.70 × 4,997.14
  4. Step 4: Simplify right side
    9,188.92x = 63,367,233.20
  5. Step 5: Solve for x
    x = 63,367,233.20/9,188.92
  6. Step 6: Final answer
    x = 6,896.05

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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.