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Finding the Fourth Proportional to 9,188.43, 12,680.15 and 4,996.77

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Solution

The fourth proportional to 9,188.43, 12,680.15 and 4,996.77 is: 6,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.43 : 12,680.15 = 4,996.77 : x
  2. Step 2: Convert to fraction form
    9,188.43/12,680.15 = 4,996.77/x
  3. Step 3: Cross multiply
    9,188.43x = 12,680.15 × 4,996.77
  4. Step 4: Simplify right side
    9,188.43x = 63,359,793.12
  5. Step 5: Solve for x
    x = 63,359,793.12/9,188.43
  6. Step 6: Final answer
    x = 6,895.61

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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.