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Finding the Fourth Proportional to 9,188.28, 12,680.22 and 5,652.66

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Solution

The fourth proportional to 9,188.28, 12,680.22 and 5,652.66 is: 7,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.28 : 12,680.22 = 5,652.66 : x
  2. Step 2: Convert to fraction form
    9,188.28/12,680.22 = 5,652.66/x
  3. Step 3: Cross multiply
    9,188.28x = 12,680.22 × 5,652.66
  4. Step 4: Simplify right side
    9,188.28x = 71,676,972.39
  5. Step 5: Solve for x
    x = 71,676,972.39/9,188.28
  6. Step 6: Final answer
    x = 7,800.91

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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.